Questions with detailed step by step solutions from Motion of System of Particles and Rigid Body

Questions in Motion of System of Particles and Rigid Body
1. A particle moves along a circular path of constant radius. The magnitude of its acceleration is
2. What is the relation between tangential acceleration and the centripetal acceleration ${{a}_{c}}$ during non uniform circular motion?
3. What determines the nature of the path followed by the particle?
4. A particle covers equal distances around a circular path in equal of time. It has uniform non zero rate of change of
5. The angular acceleration of a particle moving along a circular path with uniform speed is
6. A particle is moving along a circular path . The average velocity, linear, velocity, angular acceleration and centripetal acceleration of the particle at any instant respectively are $\overset{\to }{\mathop{\omega }}\,,\,\,\overset{\to }{\mathop{\upsilon ,\,\,}}\,\overset{\to }{\mathop{\alpha }}\,$ and $\overset{\to }{\mathop{{{a}_{c}}}}\,$ . Which of the following relations is NOT correct?
7. The two satellite are going around the earth at a height of 200 km and 300 km respectively. If angular speed of both is same, the centripetal acceleration half of the revolution ?
8. A particle is moving along a circle path with angular speed $\omega$ about the axis passing through the centre. what will be its angular speed about a point on the other end of the diameter through the instantaneous position of the particle ?
9. A tube of length $L$is filled completely with an incompressible liquid of mass $M$and closed at both ends. The tube is then rotated in a horizontal plane about one of its ends with uniform angular speed $\omega$. What is the force exerted by the liquid at the other end?
10. A particle moves along circular path with uniform speed $\upsilon$ as shown in figure. What is the change in velocity in going from $A$to$B$ ?