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

A small object of uniform density rolls up a curved surface with an initial velocity $v$. It reaches up to a maximum height of $\frac{3v^2}{4g}$ with respect to the initial position. The object is