Angular momentum of a rigid body rotating with angular velocity ω is:
A L = mv
B L = Iω
C L = rF
D L = ω/r
For rigid bodies, L = Iω.
Torque is maximum when angle between force and lever arm is:
A 0°
B 30°
C 90°
D 180°
τ = rF sinθ, sin 90° = 1.
Precession of spinning tops occurs due to:
A Weight
B Angular velocity
C Torque due to gravity
D Linear momentum
Gravity exerts torque causing precession.
If angular momentum increases, torque must be:
A Zero
B Negative
C Non-zero
D Constant
Change in angular momentum requires non-zero torque.
Angular momentum of a planet around Sun is conserved because:
A Sun exerts constant force
B Gravity is central force
C Distance never changes
D Velocity is constant
Central force → no external torque.
Units of angular momentum:
A N
B J
C kg·m²/s
D m/s²
Derived from r × p.
When a ballet dancer folds arms inward, rotation:
A Slows down
B Speeds up
C Stops
D Remains same
MoI decreases → ω increases (L constant).
Angular momentum is a:
A Scalar
B Vector
C Tensor
D Dimensional constant
Has both magnitude and direction.
A rigid body rotates faster when:
A MoI increases
B MoI decreases
C Mass increases
D Force decreases
Smaller inertia → easier to spin.
A rolling ball has:
A Only rotational KE
B Only translational KE
C Sum of rotational + translational KE
D Zero KE
Rolling combines spin + linear motion.
MoI of a rod about one end is:
A 1/12 ML²
B 1/2 ML²
C ML²
D 1/3 ML²
Known result by parallel axis theorem.
For same mass, which shape has smallest MoI?
A Ring
B Disc
C Solid sphere
D Hollow sphere
Sphere has mass closest to axis.
MoI depends on:
A Speed
B Radius distribution
C Temperature
D Time
Only mass distribution matters.
A thin rod spins faster when rotated about:
A End
B Centre
C Any point
D It never spins
MoI about centre is minimum.
The rotational kinetic energy formula uses:
A Mass only
B Radius only
C Moment of inertia
D Torque
KE = ½ Iω².
Radius of gyration is defined as:
A √(I/M)
B I/M
C M/I
D I²/M
k = √(I/M).
If all mass is concentrated at axis, MoI =
A Zero
B Infinite
C Maximum
D Negative
I = mr², r = 0 → I = 0.
Greater MoI means body:
A Rotates faster
B Rotates slower
C Cannot move
D Has zero energy
More resistance to rotation.
Using parallel axis theorem helps compute MoI about:
A Only centre
B Any axis parallel to COM axis
C Only rotational axis
D Only fixed axis
Theorem applies to parallel axes.
MoI of uniform disc about its diameter is:
A 1/2 MR²
B 1/4 MR²
C 3/4 MR²
D 2/3 MR²
Standard formula.
A body in rotational equilibrium has:
A Zero force
B Zero torque
C Zero mass
D Zero velocity
Net torque = 0.
Angular acceleration is proportional to:
A Torque
B Mass
C Height
D Area
α = τ/I.
If MoI increases while torque constant, angular acceleration:
A Increases
B Decreases
C Remains same
D Becomes negative
Inverse relation.
A wheel speeds up when:
A MoI increases
B Torque applied
C Gravity increases
D Mass constant
Torque causes rotation.
Rotational work done is:
A Fd
B τθ
C mv²
D Iα
Work in rotation = torque × angle.
Rotational power is:
A τ+ω
B τ/ω
C τω
D I/α
Rotational equivalent of P = Fv.
A disc and ring roll down incline. Which reaches first?
A Disc
B Ring
C Both same
D Neither
Smaller MoI → faster acceleration.
In rolling motion, point of contact has:
A Maximum speed
B Zero speed
C Constant speed
D Infinite speed
Instantaneous rest point.
Angular velocity is related to linear velocity by:
A v = ω/r
B v = rω
C v = r/ω
D v = ω²r
For rolling: v = rω.
A torque always produces:
A Linear motion
B Circular motion
C Angular acceleration
D Increase in mass
τ = Iα.
In central force motion, torque about centre is:
A Maximum
B Minimum
C Zero
D Infinite
Force is radial → no moment arm.
Non-central forces cause:
A No change in angular momentum
B Change in angular momentum
C No motion
D Zero work
They exert torque.
Planetary motion is planar because:
A Mass is constant
B Forces are central
C Speed uniform
D Orbit is circular
Central force → plane of motion constant.
A central force depends only on:
A Position
B Time
C Path taken
D Temperature
F = f(r) direction radial.
Non-central force example:
A Gravity
B Electric attraction
C Magnetic force on moving charge
D Gravitational field of Earth
Magnetic force is velocity-dependent and non-radial.
Gravitational force varies as:
A r
B 1/r
C 1/r²
D r²
Newton’s inverse square law.
If distance increases by 3 times, gravity becomes:
A 1/3
B 1/6
C 1/9
D 1/27
(1/3)² = 1/9.
Formula for gravitational force:
A GMm/r²
B GMm/r
C GMm/r³
D GM/mr²
Newton’s law.
G is a:
A Constant varying with mass
B Universal constant
C Constant of Earth only
D Temperature-dependent constant
Value same in universe.
Value of G experimentally found by:
A Young
B Cavendish
C Newton
D Kepler
Cavendish torsion balance experiment.
Weight of object on Moon is:
A Same as Earth
B Greater than Earth
C One-sixth of Earth
D Double Earth
g on moon ≈ g/6.
A satellite stays in orbit due to:
A No gravity
B Balance of gravitational & centrifugal effect
C Zero mass
D Zero velocity
Circular orbit condition.
Escape velocity varies with:
A Body’s mass
B Earth’s mass & radius
C Shape of body
D Temperature
ve = √(2GM/R).
Gravitational potential energy is maximum at:
A Surface
B Pole
C Centre
D Infinity
PE → 0 at ∞; least negative.
Value of g at centre of Earth is:
A g
B Infinite
C Zero
D Maximum
Symmetry → no net force.
Orbital speed is independent of:
A Mass of satellite
B Radius of orbit
C Mass of planet
D G
v = √(GM/R).
Total energy of satellite in orbit is:
A Positive
B Zero
C Negative
D Infinite
Bound orbit → negative energy.
Kepler’s second law states:
A T² ∝ r³
B Planets move fastest at perihelion
C Orbit is circular
D Mass independent
Equal area in equal time.
Gravitational force is always:
A Repulsive
B Attractive
C Zero
D Variable but repulsive
Mass attracts mass.
Work done by gravity in lifting object is:
A Positive
B Negative
C Zero
D Cannot be determined
Gravity opposes upward motion.