A yo-yo sits on the table top and is gently pulled to the right by a horizontal string wound about the axle. (a) The string is wound around the axle in the con- figuration illustrated to the right, so that the string leaves from the top of the axle. The pull is gentle enough that the yo-yo does not slip. Pre- dict the motion of the yo-yo. Check your pre- diction with an actual yo-yo or search online for videos. (b) The string is now wound around the axle in the configuration illustrated to the right, so that the string leaves from the bottom of the axle. The pull is gentle enough that the yo-yo does not slip. Predict the motion of the yo-yo. Check your pre- diction with an actual yo-yo or search online for videos. (c) Explain your results from Parts (a) and (b). Assume that the radius of the axle of the yo-yo is r, and the radius of the yo-yo itself is R. What are the total torques acting on the yo-yo about its axis of rotation for Parts (a) and (b). (d) Suppose that in the arrangement of Part (b) the string is not horizontal, but instead pulls the yo-yo to the right and up. As the angle of the string is increased predict what will happen. Check your prediction with an actual yo-yo or search online for videos. Can you explain?

7. A girl throws a rock off of a cliff at an angle 40' from horizontal as shown below. If she hears the rock splash into the water 4sec later, determine the maximum height, Ymax attained by the rock. Ymas

3 The worh done by o farce by Dis gluen by the formula WormP.B. a)Find the worh done by a force F= 2it3+ R on a partide duplaced fram the position (,2, Dło (3,5,2) biSuppose that a particle cas dsplocad.advance of 4ft in aforce with magnitude 5 pands. The angle between the foroe and the displacement was 60 How much worh was dane by the force? E ana parlıde dsplac

I need help to solve the angle in this equation. Assume F+ =F- F+ = m2g-m1gsin θ F- = m1gsin θ-m2g (m+2g-m1gsin θ ) = (m1gsin θ-m-2g) θ= ???