Motion of System of Particles and Rigid Bodies Book Back Questions

11th Standard

Reg.No. :
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Physics

Time : 00:45:00 Hrs
Total Marks : 30
5 x 1 = 5
1. The center of mass of a system of particles does not depend upon,

(a)

position of particles

(b)

relative distance between particles

(c)

masses of particles

(d)

force acting on particle

2. A particle is moving with a constant velocity along a line parallel to positive X-axis. The magnitude of its angular momentum with respect to the origin is,

(a)

zero

(b)

increasing with x

(c)

decreasing with x

(d)

remaining constant

3. A particle undergoes uniform circular motion. The angular momentum of the particle remain conserved about,

(a)

the center point of the circle.

(b)

the point on the circumference of the circle.

(c)

any point inside the circle.

(d)

any point outside the circle

4. The speed of a solid sphere after rolling down from rest without sliding on an inclined plane of vertical height his,

(a)

$\sqrt \frac{4}{3}gh$

(b)

$\sqrt \frac{10}{7}gh$

(c)

$\sqrt{2gh}$

(d)

$\sqrt \frac{1}{2}gh$

5. A round object of mass M and radius R rolls down without slipping along an inclined plane. The fractional force

(a)

dissipates kinetic energy as heat.

(b)

decreases the rotational motion.

(c)

decreases the rotational and transnational motion

(d)

converts transnational energy into rotational energy

6. 3 x 2 = 6
7. Write the relation between angular momentum and rotational kinetic energy. Draw a graph for the same. For two objects of same angular momentum, compare the moment of inertia using the graph.

8. An electron of mass 9 x 10-31 kg revolves around a nucleus in a circular orbit of radius 0.53 $\overset { 0}{ A }$. What is the angular momentum of the electron? (Velocity of electron is, v = 2.2 x 106 ms-1)

9. A small particle of mass m is projected with an initial velocity v at an angle $\theta$ with x-axis in X-Y plane as shown in Figure.

Find the angular momentum of the particle.

10. 3 x 3 = 9
11. What are the conditions in which force can not produce torque?

12. State principle of moments

13. What is the condition for pure rolling?

14. 2 x 5 = 10
15. Discuss rolling on inclined plane and arrive at the expression for the acceleration.

16. On the edge of a wall, we build a brick tower that only holds because of the bricks own weight. Our goal is to build a stable 1 tower whose overbang d is greater than the length - I of a single brick. What is the minimum number of bricks you need?