Question

4. Experiment 1 (see this finst dingram, which is not to scale A straight, thin rod of non-uniform density is held initially at rest as shown, by a frictionless pin located at the base of the wall and also by a horizontal, massless thread that connects the rod to the wall. The rod's total length is 7.94 m, and the tension in the thread is 150 N wall rod Defining the pin as r 0 m, the rod's linear mass density can be described as this: thread A(r) = A-Bras, where A = 321 kg/m, and 1-0.534 kgm"s The thread is then cut (at its right end), which allows the rod to pivot downward, rotating freely around the pin, until it strikes the floor. Result: The impact speed of the rod's midpoint is 6.87 m/s. pin floor Experiment 2 (see this second diagram-also not to scale): The rod is removed, and a solid, uniform sphere is placed at rest, as shown, on a ramp attached to the top of the wall. ram height 9/ As it happens, the diameter of the sphere is equal to half the thread's length; and the ramp height is twice the thread's length; and the wall height is six times the thread's length. When released from rest, the sphere rolls, without slipping, down the ramp and off the horizontal edge of the wall. wall Predict this result: Through how many revolutions will the sphere turn while it is a projectile? Ignore all air drag and rolling friction, and assume that g 9.80 m/s floor

Answer 1

First we need to find relation between radius thread length ramp height and height of wall then solve as follows