Chapter 4: Rotational Motion & Gravitation (Set-4)

Angular momentum of a rotating rigid body depends on:

A Torque only
B Radius only
C Moment of inertia & angular velocity
D Linear speed only

A larger lever arm produces:

A Smaller torque
B Larger torque
C Zero torque
D Constant torque

Angular momentum is conserved when:

A External torque = 0
B Internal torque = 0
C Applied force constant
D Speed constant

Unit of torque is same as unit of:

A Energy
B Angular momentum
C Work
D Pressure

A rod pivoted at one end is easier to rotate if force applied:

A Near pivot
B Beyond pivot
C At the free end
D At midpoint

Doubling angular velocity doubles:

A Angular momentum only
B MoI only
C Torque
D Both torque & MoI

Angular momentum direction is:

A Opposite velocity
B Along torque
C Perpendicular to plane of rotation
D Same as linear momentum

Gyroscopic effect stabilizes:

A Cars
B Satellites
C Bicycles
D All of these

A torque always changes:

A Angular velocity
B Linear velocity
C Radius
D MoI

If angular momentum is constant and MoI increases, ω:

A Increases
B Decreases
C Remains same
D Becomes zero

MoI of uniform disc about central axis:

A MR²
B 1/2 MR²
C 2/3 MR²
D 1/4 MR²

For ring rolling, total KE =

A Translational only
B Rotational only
C Translational + rotational
D Zero

Hollow sphere has higher MoI than solid sphere because:

A More mass
B More radius
C Mass farther from axis
D Shape difference only

Least MoI for a rod is about:

A One end
B Centre
C Diagonal axis
D Any axis

The quantity kg·m² measures:

A Torque
B Force
C Moment of inertia
D Momentum

Parallel axis theorem adds term:

A ML
B ML²
C MD
D Md²

MoI determines body’s:

A Temperature
B Mass
C Energy
D Rotational inertia

Rotational KE does not depend on:

A MoI
B Angular velocity
C Mass
D Linear speed

Radius of gyration k represents:

A Mass of body
B Distance at which mass can be concentrated
C Rotational speed
D Axis tilt

MoI of thin rod about end is:

A ML²
B 1/12 ML²
C 1/3 ML²
D 2ML²

Rotational work =

A Fd
B τθ
C
D

Rotational power =

A τω
B τθ
C
D Iω²

Pure rolling occurs when:

A v > rω
B v < rω
C v = rω
D α = v/r

In rolling motion, velocity at top of wheel =

A Zero
B v
C 2v
D v/2

Net torque on a body is zero; then:

A ω = 0
B α = 0
C L = 0
D KE = 0

Rotational kinetic energy increases if:

A MoI increases (ω constant)
B ω increases
C τ decreases
D v decreases

A wheel slows down due to:

A Zero MoI
B Positive torque
C Negative torque
D Increase in mass

Angular displacement measured in:

A Radians
B Joules
C Newton
D m/s

Rotational inertia increases when:

A Mass shifted outward
B Mass shifted inward
C Speed increases
D Axis removed

A body in rotational equilibrium has:

A Angular velocity = 0
B Net torque = 0
C MoI = constant
D g = constant

Central forces always point toward:

A Tangent
B Axis
C Perpendicular direction
D Centre

A central force produces:

A No torque
B Maximum torque
C Negative torque
D Outward torque

Non-central forces change:

A Linear velocity
B Angular momentum
C Radius
D Mass

Motion under central force lies in:

A 3D surface
B Any random path
C A plane
D Helical path

Gravitational force is:

A Non-central
B Central
C Opposing
D Purely tangential

If distance halves, gravitational force becomes:

A Double
B Half
C Four times
D One-fourth

Value of G is:

A Same everywhere
B Maximum at poles
C Zero at equator
D Depends on mass

Inverse square law applies to:

A Nuclear force
B Gravitational force
C Strong force
D Magnetic dipole only

Gravitational force reduces with height because:

A r increases
B m decreases
C G decreases
D Time increases

Unit of gravitational constant G:

A N/kg
B m/s²
C N·m²/kg²
D kg·m/s

g is minimum at:

A Poles
B Equator
C Moon
D Centre of Earth

A body weighs less at equator because:

A Earth flat
B Earth rotates
C Sun pulls downward
D Mass reduces

Orbital speed depends on:

A Satellite mass
B Planet’s mass & orbital radius
C Sunlight
D Shape of satellite

Escape velocity independent of:

A Planet mass
B Object mass
C Planet radius
D Gravitational constant

A satellite in free fall feels:

A Maximum weight
B No weight
C Double weight
D Zero force

Gravitational potential energy (−GMm/r) is:

A Always zero
B Always positive
C Always negative
D Always maximum

Kepler’s 3rd law states:

A T² ∝ r²
B T ∝ r³
C T² ∝ r³
D T³ ∝ r

Total energy of orbiting satellite =

A KE
B PE
C KE + PE (negative)
D Zero

Gravitational force between two bodies is zero at:

A Infinite separation
B Poles
C Equator
D Earth’s centre

Earth revolves around Sun because:

A No force
B Sun pushes Earth
C Gravity supplies centripetal force
D Earth rotates on axis