A disc of mass $M$ and radius $R$ rolls without slipping on a horizontal surface. If the velocity of its centre is $v_0,$ then the total angular momentum of the disc about a fixed point $P$ at a height $3/2 R$ above the centre $C$

A yo-yo is placed on a rough horizontal surface and a constant force $\mathrm{F}$, which is less than its weight, pulls it vertically. Due to this

      

A yo-yo, arranged as shown, rests on a frictionless surface. When a force F is applied to the string, the yo-yo

A spool is pulled horizontally by two equal and opposite forces as shown in the figure. Which of the following statements is correct?

A uniform pole of length $L$ and mass $M$ is pivoted on the ground with a frictionless hinge. The pole makes an angle $\theta$ with the horizontal. The moment of inertia of the pole about one end is $(1/3)M{L}^2.$ If it starts falling from the position shown in the accompanying figure, the linear acceleration of the free end of the pole immediately after release would be