Rotational Motion (AIIMS Physics): Questions 9 - 12 of 16

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Question number: 9

» Rotational Motion » Torque

MCQ▾

Question

A force F=(3i^+5j^) newton acts on a particle whose position vector with respect to origin O is r=(2i^7j^)metre. Find the magnitude and direction of the torque.

Choices

Choice (4) Response
a.

Magnitude 21 Nm, direction along the negative z – axis

b.

Magnitude 31 Nm, direction along the positive z – axis

c.

Magnitude 21 Nm, direction along the positive z – axis

d.

Magnitude 31 Nm, direction along the negative z – axis

Question number: 10

» Rotational Motion » Concepts of Rotational Motion

MCQ▾

Question

A stone of mass 5 kg is attached to a string 1.69m long and is whirled in a horizontal circle. The maximum tension the string can withstand is 20 N. What maximum velocity can be given to the stone without breaking the string?

Choices

Choice (4) Response
a.

2.4ms

b.

3.2ms

c.

3.4ms

d.

2.6ms

Question number: 11

» Rotational Motion » Radius of Gyration

MCQ▾

Question

The angular velocity of a body changes from ω to 2ω without applying torque but by changing moment of inertia. The ratio of initial radius of gyration to the final radius of gyration is –

Choices

Choice (4) Response
a.

12

b.

12

c.

2

d.

2

Question number: 12

» Rotational Motion » Rigid Body Rotation Equations of Rotational Motion

MCQ▾

Question

A rope is wound around a hollow cylinder of M=5kg and radius R=50cm . If the rope is pulled with a force F=40N , the angular acceleration of cylinder and the linear acceleration of the rope are respectively –

Choices

Choice (4) Response
a.

25rads2,15ms2

b.

20rads2,10ms2

c.

16rads2,8ms2

d.

30rads2,6ms2

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