Circular Motion
5.01 Angular Displacement
The motion of a body moving on a circular path is called:
(A) translational motion
(B) Angular motion
(C) Linear motion
(D) vibrating motion
36o is equal to:
(A) π8π8
(B) π6π6
(C) π5π5
(D) π12π12
ππradian is equal to:
(A) 75.3o
(B) 57.3o
(C) 35.7o
(D) 73.5o
The angle subtended at the centre by circumference of circle is:
(A) ππ rad
(B) 3ππ rad
(C) 2ππ rad
(D) π2π2
One revolution is equal to:
(A) ππ rad
(B) 2ππ rad
(C) π2π2 rad
(D) π4π4 rad
On angular unit is equal to:
(A) two two rev
(B) π4π4 rev
(C) π2π2 rev
(D) 12Ï€12Ï€ rev
The S.I unit of angular displacement is:
(A) Degree
(B) Revolution
(C) Radian
(D) Rotation
All points on a rigid body rotating a couple of fastened axis don't have same:
(A) Speed
(B) Angular Speed
(C) Angular acceleration
(D) Angular displacement
Which amount of the subsequent is dimensionless?
(A) Angular rate
(B) Angular acceleration
(C) force
(D) Angular displacement
A wheel of radius 2m turns through associate degree angle of fifty seven.3 It lays out a tangential distance.
(A) 2m
(B) 4m
(C) 57.3m
(D) 114.6m
2 angular unit = _________:
(A) 114.6o
(B) 57.3o
(C) 75.3o
(D) 37.5o
One degree is equal to:
(A) π360radπ360rad
(B) 2Ï€180rad2Ï€180rad
(C) π180radπ180rad
(D) π360radπ360rad
The angle through that a body moves is termed its
(A) Angular speed
(B) Angular displacement
(C) Angular rate
(D) Angular motion
The angle subtended at the middle of a circle by a part capable its radius is equal to:
(A) One degree
(B) One rotation
(C) [*fr1] rotation
(D) One angular unit
In one revolution the angular displacement coated is:
(A) 60o
(B) 360o
(C) 90o
(D) 180o
Angle 30o is equal to:
(A) π2radπ2rad
(B) π3radπ3rad
(C) π4radπ4rad
(D) π6radπ6rad
5.02 Angular rate
A wheel of radius fifty cm having associate degree angular speed of five rad/s have linear speed:
(A) 1.5 m/s
(B) 3.5 m/s
(C) 4.5 m/s
(D) 2.5 m/s
The dimensions of angular rate are:
(A) [LT-1]
(B) [LT-2]
(C) [T-1]
(D) [L-1T-1]
Which one among the subsequent is correct?
(A) ω=rvω=rv
(B) v=rωv=rω
(C) v=rωv=rω
(D) ω=rvω=rv
Revolution per minute is unit for:
(A) Angular displacement
(B) Angular rate
(C) Angular acceleration
(D) Time
1 rev/min is equal to:
(A) Ï€6rads−1Ï€6rads−1
(B) Ï€15rads−1Ï€15rads−1
(C) Ï€20rads−1Ï€20rads−1
(D) Ï€30rads−1Ï€30rads−1
If a automotive moves with the same speed of two m/sec in a very circle of radius zero.4 its angular speed is:
(A) four rad/sec
(B) five rad/sec
(C) 1.6 rad/sec
(D) 2.8 rad/sec
The direction of angular rate is decided by:
(A) mitt rule
(B) Head to tail rule
(C) Right had rule
(D) General rule
ω=60revmin−1ω=60revmin−1 is equal to:
(A) Ï€rads−1Ï€rads−1
(B) 2Ï€rads−12Ï€rads−1
(C) 1Ï€rads−11Ï€rads−1
(D) 2Ï€rads−12Ï€rads−1
If a body is acquiring the counter clockwise direction the the direction of angular rate can be:
(A) Toward the centre
(B) far from the centre
(C) Anlong the linear rate
(D) Perpendicular to each radius and linear rate
The unit of angular rate in SI unit is:
(A) angular unit s-1
(B) Meter s-1
(C) Degree -1
(D) Revolution s-1
The angular speed for daily rotation of earth in rad s-1 is:
(A) 2 π
(B) π
(C) 4 π
(D) 7.3 x 10-5 rad s-1
5.03 Angular Acceleration
Angular acceleration is created by:
(A) Power
(B) Torque
(C) Pressure
(D) Force
Direction of angular acceleration is usually along:
(A) x-axis
(B) y-axis
(C) z-axis
(D) The axisof rotation
A body ranging from rest attains angular accelerationof five rad s2 in two second. Final angular rate can be:
(A) 10rads−110rads−1
(B) 7rads−17rads−1
(C) 3rads−13rads−1
(D) 2rads−12rads−1
The unit of angular acceleration in SI unit is:
(A) angular unit s-1
(B) Radian-2 s-1
(C) angular unit s-2
(D) Radian
A body will have a relentless rate once it follows a:
(A) Elliptical path
(B) Circular path
(C) Parabolic path
(D) rectilineal path
5.04 Relation Between Angular and Linear Velocities
When a body moves in an exceedingly circle, the angle between linear speed 'v' and angular speed speed is:
(A) 180o
(B) 90o
(C) 60o
(D) 45o
A wheel of diameter 1m makes sixty rev/min. The linear speed of a degree on its rim in ms-1 is:
(A) ππ
(B) 2Ï€2Ï€
(C) π2π2
(D) 3Ï€3Ï€
A body rotating with angular speed a pair of|of two} radian/s and linear speed is additionally 2 ms-1, then radius of circle is:
(A) 1 m
(B) 0.5 m
(C) 4 m
(D) 2 m
5.05 force
The magnitude of force on a mass 'm' moving with angular speed 'ωω' in an exceedingly circle of radius 'r' is:
(A) mr2ωmr2ω
(B) mω2rmω2r
(C) mrω2mrω2
(D) mr2ω3mr2ω3
When a body is getting a circle of radius r with angular speed ‘ω ’ its force is:
(A) mr2ωmr2ω
(B) mω2rmω2r
(C) mrω2mrω2
(D) mr2ω3mr2ω3
Centripetal acceleration is additionally called:
(A) Tangential
(B) Radial
(C) Angular
(D) move
When a body is whirled in an exceedingly horizontal circle by means that of string, the force is provided by:
(A) Mass of a body
(B) speed of a body
(C) Tension within the string
(D) acceleration
Centripetal force performs:
(A) most work
(B) Minimum work
(C) Negative work
(D) No work
The force is usually directed.
(A) far from the center on the radius
(B) on the direction of motion
(C) Opposite to the motion of the body
(D) Towards the center on the radius
Which one in all the subsequent isn't directed on the axis of rotation?
(A) Angular acceleration
(B) momentum
(C) acceleration
(D) Angular displacement
If linear speed and radius square measure each created to half a body traveling a circle. Then its force becomes:
(A) FcFc
(B) fc2fc2
(C) Fc4Fc4
(D) 2Fc2Fc
Which one in all the subsequent force cannot do any work on the particle on that it acts?
(A) halfway force
(B) attraction
(C) static force
(D) force
Which os the subsequent isn't directed on the fastened axis of rotation?
(A) Angular Displacement
(B) momentum
(C) acceleration
(D) Angular Acceleration
If a body revolves below force, its angular acceleration is:
(A) Non zero
(B) Variable
(C) Increasing
(D) Zero
When a body is whirled in an exceedingly great circle at the top of the string tension within the string is maximum:
(A) At the highest
(B) At rock bottom
(C) At the horizontal
(D) At the middle of diameter
When a body is getting circle of radius r with constant linear speed v its force is:
(A) mv/r2
(B) mv/r
(C) mv2/r
(D) mv2/r2
The acceleration of a body undergoing uniform circular motion is constant in:
(A) Magnitude solely
(B) Direction solely
(C) Both
(D) Neither
A stone is whirled in an exceedingly great circle at the top of a string. once the stone is at the very best position the strain within the string is:
(A) most
(B) Minimum
(C) adequate weight of the stone
(D) over the load of the stone
20 N force revolving a body on a circular path of radius 1m, the work done by the force is:
(A) twenty Joule
(B) forty Joule
(C) ten Joule
(D) Zero Joule
The expression for force is given by:
(A) mv2rmv2r
(B) m2v2rm2v2r
(C) m2v2r2m2v2r2
(D) mr2ωmr2ω
5.06 Moment of Inertia
Moment of inertia is measured in:
(A) kg m2
(B) kg m-2
(C) Rad s-1
(D) Joule second
The diver spins quicker once moment of inertia becomes:
(A) Smaller
(B) bigger
(C) Constant
(D) Equal
Moment of inertia of hoop is:
(A) mr2mr2
(B) 12mr212mr2
(C) 25mr225mr2
(D) 112mr2112mr2
Choose the amount that plays identical role in angular motion as that of mass in linear motion.
(A) Angular Acceleration
(B) Torque
(C) Moment of Inertia
(D) momentum
Momentum of inertia of rod is:
(A) 1=112mL21=112mL2
(B) 1=25mL21=25mL2
(C) 1=112m2L1=112m2L
(D) None of those
The mud flies the tyre of a moving bicycle within the direction of:
(A) Towards the middle
(B) Radius
(C) Tangent to the tyre
(D) Motion
A body rotates with a relentless angular speed of a hundred rad/sec a couple of vertical axis is needed force to sustain this motion can be:
(A) Zero Nm
(B) 100 Nm
(C) 200 Nm
(D) 300 Nm
Moment of inertia of a hundred metric weight unit sphere having radius fifty cm can be:
(A) ten metric weight unit money supply
(B) five metric weight unit money supply
(C) five hundred metric weight unit money supply
(D) 2.5 kg m2
Moment of inertia for a particle is given by:
(A) m2 r2
(B) mr2
(C) m2 r
(D) mr-2
In move motion analogous of force is:
(A) Torque
(B) Inertia
(C) speed
(D) Momentum
5.07 Momentum
The
S.I unit of momentum is given by:
(A)
J.s-2
(B)
J.s-1
(C)
J.s
(D)
J.m
For
momentum of system to stay constant, external torsion ought to be:
(A)
Small
(B)
Large
(C)
Zero
(D)
None
The
value of momentum is most once once is:
(A)
90o
(B)
60o
(C)
45o
(D)
0o
The
momentum momentum given by:
(A)
r→×p→r→×p→
(B)
L→×r→L→×r→
(C)
r→×F→r→×F→
(D)
F→×p→F→×p→
The
product of otational mechanical phenomenon "I" and angular rate rate
is equal to:
(A)
Torque
(B)
Linear momentum
(C)
momentum
(D)
Force
The
dimensions of momentum L are:
(A)
[ML2T-2]
(B)
[MLT-1]
(C)
[ML2T-2]
(D)
[ML-2T]
In
motility motion, the torsion is up to rate of modification of:
(A)
Angular rate
(B)
Linear momentum
(C)
momentum
(D)
Angular acceleration
The
S.I unit of momentum is:
(A)
kilogram m2g-1
(B)
kilogram m2g-2
(C)
Kg2 mg-1
(D)
kilogram mg-1
Angular
momemtum has identical unit as:
(A)
Impulse × Distance
(B)
Power × Time
(C)
Linear × Time
(D)
Work × Frequency
The
moment of inertia of ten kilogram hoop regarding the axis of rotation
perpendicular to its plane having radius
5m is:
(A)
fifty kgm2
(B)
one hundred kgm2
(C)
one hundred fifty kgm2
(D)
250 kgm2
5.08
Law of Conservation of momentum
The
diver spins quicker once momentum of inertia becomes:
(A)
Smaller
(B)
bigger
(C)
Constant
(D)
Zero
When
a torsion functioning on a system is zero, that of the subsequent are correct:
(A)
Linear momentum
(B)
Force
(C)
momentum
(D)
Linear impulse
The
rate of modification of linear momentum of a body is equal to:
(A)
Moment of force
(B)
The applied force
(C)
The applied torsion
(D)
Impulse
The
rate of modification of momentum of a body is:
(A)
The applied force
(B)
the instant of inertia
(C)
The applied torsion
(D)
Impulsive force
Angular
momentum is preserved under:
(A)
Central force
(B)
Constant force
(C)
Variable force
(D)
Uniform force
If
external torsion on a body is zero, then that of those quantities is constant:
(A)
Force
(B)
Linear Momentum
(C)
Linear rate
(D)
momentum
5.09 motility mechanical energy
The
motility K.E of a hoop of radius 'r' is:
(A)
14mr2ω214mr2ω2
(B)
12mr2ω212mr2ω2
(C)
mr2ω2mr2ω2
(D)
12r2ω212r2ω2
The
quantitative relation of moment of inertia of a disc and hoop is:
(A)
3434
(B)
4343
(C)
1212
(D)
1414
The
quantitative relation of rate of disc of rate of hoop is:
(A)
32√32
(B)
43√43
(C)
2323
(D)
4343
The
quantitative relation of motility K.E of hoop of its change of location K.E is:
(A)
1 : 2
(B)
2 : 1
(C)
1 : 1
(D)
1 : 4
The
unit of motility K.E is:
(A)
rad/sec
(B)
Js
(C)
J
(D)
Kgm2
The
motility mechanical energy of a solid sphere is:
(A)
35mr2ω235mr2ω2
(B)
25mv225mv2
(C)
12Iω212Iω2
(D)
25Iω225Iω2
The
motility K.E of a hoop of mass "m" moving down resistance simple
machine with rate "v" can be:
(A)
14mv214mv2
(B)
12mv212mv2
(C)
34mv234mv2
(D)
mv2mv2
The
motility mechanical energy of a hoop of mass m moving down Associate in Nursing
simple machine with rate v can be:
(A)
14mv214mv2
(B)
12mv212mv2
(C)
34mv234mv2
(D)
mv2mv2
The
linerar rate of a disc once it reaches very cheap of Associate in Nursing
incilned plane of height ‘h’ is:
(A)
gh−−√gh
(B)
23gh−−−−√23gh
(C)
43gh−−−−√43gh
(D)
13gh−−−−√13gh
A
man in Associate in Nursing elevator ascending with Associate in Nursing
acceleration can conclude that his weight has:
(A)
accrued
(B)
minimized
(C)
Reduced to zero
(D)
Remained constant
The
linear rate of a disc moving down Associate in Nursing incline plane is:
(A)
gh−−√gh
(B)
43gh−−−−√43gh
(C)
23gh−−−−√23gh
(D)
12gh−−−−√12gh
Rotational
K.E of a body is given by a formula:
(A)
K.Erot=12mv2K.Erot=12mv2
(B)
K.Erot=14m2v2K.Erot=14m2v2
(C)
K.Erot=14mvK.Erot=14mv
(D)
K.Erot=14m2vK.Erot=14m2v
Relation
between the speed of disc Associate in Nursingd hoop at very cheap of an
incline is:
(A)
vdisc=34−−√vhoopvdisc=34vhoop
(B)
vdisc=43−−√vhoopvdisc=43vhoop
(C)
vdisc=25−−√vhoopvdisc=25vhoop
(D)
vdisc=2vhoopvdisc=2vhoop
The
motility K.E of Disc is equal to:
(A)
14mv214mv2
(B)
12mv212mv2
(C)
14Iω214Iω2
(D)
Iω2Iω2
A
twenty metre high tank is choked with water. A hole seems at its middle. The
speed of effluence can be:
(A)
ten ms-1
(B)
fourteen ms-1
(C)
11.5 ms-1
(D)
9.8 ms-1
5.11 Real and Apparent Weight
A man of mass five weight unit is falling freely, the force performing
on it'll be:
(A) 5 N
(B) 9.8 N
(C) 19.6 N
(D) Zero
Weight of a sixty weight unit man in moving elevator downward) with
constant acceleration of 12g(g=10ms−2)12g(g=10ms−2):
(A) Zero
(B) 300 N
(C) 600 N
(D) 200 N
A man in a very carry is moving upward with constant speed can conclude
that his weight has:
(A) enlarged
(B) attenuated
(C) Reduced to Zero
(D) Not modified
The weight of the body at the centre of Earth is:
(A) most
(B) Minimum
(C) Zero
(D) Infinite
A man of one weight unit is freefalling. The force of gravity is:
(A) 1N
(B) 9.8N
(C) 0.5N
(D) Zero
If a rocket is fast upward with AN acceleration of 2g, AN cosmonaut of
weight, Mg within the rocket shows apparent weight.
(A) Zero
(B) Mg
(C) 2mg
(D) 3mg
Apparent weight of a person in upward accelerated carry will:
(A) will increase
(B) Decreases
(C) stay same
(D) Increase then decrease
A sixty weight unit man in AN elevator is moving upward with AN
accelration of nine.8 m-2. The apparent weight of the man:
(A) will increase
(B) Decreases
(C) stay constant
(D) Decones Zero
An elevator is moving up with AN acceleration adequate "g". a
plain weight of the body in AN elevator is:
(A) Zero
(B) adequate real weight
(C) 2 mg
(D) 3 mg
A man in elevator dropping with AN acceleration can conclude that his
weight has:
(A) enlarged
(B) attenuated
(C) Remained constant
(D) Reduced to zero
Free falling bodies:
(A) Have minimum weight
(B) Have most weight
(C) Neither minimum nor most weight
(D) area unit in a very state of weight
The weight of man in AN elevator moving down with AN acceleration of
nine.8ms-2 can become:
(A) Half
(B) Zero
(C) Unchanged
(D) Double
A body of mass ten weight unit in free falling carry has weight:
(A) 10 N
(B) 9.8 N
(C) Zero N
(D) 980 N
5.12 Weight in Satellites and Gravity Free system
The weight of AN object in AN elevator moving down with AN acceleration
of nine.8 m/s2 can become:
(A) Half
(B) Double
(C) Unchanged
(D) Zero
A man weight a thousand N in a very stationary carry. If the carry
moves up with AN acceleration of ten ms-2, then its weight becomes:
(A) 1000 N
(B) 2000 N
(C) 3000 N
(D) 0 N
5.13 Orbit speed
The quantitative relation between orbital and escape velocities are:
(A) 1
(B) 1212
(C) 12−−√12
(D) 2–√2
The expression for the orbital speed of satellite is given by:
(A) v=GMr−−−−√v=GMr
(B) v=GM−−−−√v=GM
(C) v=GMr−−−√v=GMr
(D) v=rGM−−−√v=rGM
Relation between {escape speed|speed|velocity} 'vesc' and orbital
velocity 'vo' is:
(A) vesc=12vovesc=12vo
(B) vesc=2–√vovesc=2vo
(C) vesc=vovesc=vo
(D) vesc=2vovesc=2vo
An orbital speed of a satellite may be determined by the equation:
(A) 2gR−−−−√2gR
(B) 2GMR−−−−√2GMR
(C) gR−−−√gR
(D) GMR−−−√GMR
Orbital speed close to surface of earth is given by:
(A) 2gR−−−−√2gR
(B) gR−−−√gR
(C) 2gR−−√2gR
(D) gR−−√gR
The force required to unbroken the body into circular motion is called:
(A) resistance force
(B) gravitational attraction
(C) force
(D) force
In case of planets the mandatory acceleration is give by:
(A) gravitational attraction
(B) resistance force
(C) Coulomb’s force
(D) force
The force to the satellite is provided by
(A) Nuclear force
(B) The motion of satellite
(C) Coulombs force
(D) Force of gravity
The relation between the orbital speed vo of a planet and its orbital
radius artificial language is:
(A) vo∝1ro√vo∝1ro
(B) vo∝1rovo∝1ro
(C) vo∝rovo∝ro
(D) vo∝ro−−√vo∝ro