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This mock test of Rigid Body Dynamics NAT Level - 1 for Physics helps you for every Physics entrance exam.
This contains 10 Multiple Choice Questions for Physics Rigid Body Dynamics NAT Level - 1 (mcq) to study with solutions a complete question bank.
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*Answer can only contain numeric values

QUESTION: 1

A solid sphere rolls down an inclined plane without slipping. The fraction of its total energy associated with its translation motion is :

Solution:

The correct answer is: 0.714

*Answer can only contain numeric values

QUESTION: 2

If the radius of the earth becomes half of its present value, with its mass remaining the same, the duration of one day will become (in *hours*).

Solution:

Conserving angular momentum of the earth w.r.t. its axis of rotation

The correct answer is: 6

*Answer can only contain numeric values

QUESTION: 3

A uniform rod of mass * m* and length

Solution:

By equating force in vertical direction

**T**_{1} + **T**_{2} = **mg**

The correct answer is: 2

*Answer can only contain numeric values

QUESTION: 4

A solid sphere and a solid cylinder having the same mass and radius, roll down the same incline. The sum of their acceleration (in **ms**^{–2}) will be :

Solution:

The correct answer is: 29

*Answer can only contain numeric values

QUESTION: 5

A disc of mass * M* and radius

Solution:

Using energy conservation * P.E*. =

The correct answer is: 2.981

*Answer can only contain numeric values

QUESTION: 6

A uniform disc * m* and radius

Solution:

Under the given conditions only possibility is that friction is upwards and it accelerates downwards as shown below :

The equations of motion are :

For rolling (no slipping)

The correct answer is: 6

*Answer can only contain numeric values

QUESTION: 7

A box of dimensions ℓ = 4m and ** b** = 2

Solution:

The correct answer is: 5

*Answer can only contain numeric values

QUESTION: 8

A * T* shaped object with dimensions shown in the figure, is lying on a smooth floor. A force is applied at the point

Solution:

For pure translatory motion, net torque about centre of mass should be zero. Thus is applied at centre of mass of system.

* PC* = 4

The correct answer is: 4

*Answer can only contain numeric values

QUESTION: 9

In the pulley system shown, if radii of the bigger and smaller pulley are 2* m* and 1

Solution:

The correct answer is: 2.5

*Answer can only contain numeric values

QUESTION: 10

A hole of radius R/2 is cut from a thin circular plate of radius * R* as shown in the figure. If the mass of the remaining plate is

Solution:

Let the mass of disc without hole =

The mass of cut hole of radius

∴

or

Moment of inertia of given body about axis passing through

* O* =

On putting the value of ** M** and

The correct answer is: 39

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