Reference no: EM132229970
Problem - The figure below shows a pulley system a movable wall, a hanging block, a wave pulse traveling and the cable that connects the system.
The movable wall has mass m = 550 kg - it cannot tip over, and slides across a frictionless surface. The hanging block has mass M = 1850 kg. The pulley has a radius of r = 1.00 m and moment of Inertia of I = 90 kg·m2. The cable has linear mass density μ = 0.140 kg/m. Note that the mass of the cable is assumed to be small enough to not affect the tensions in the systems.
The initial distance from the wall to the pulley is d = 31.0 m, and the Initial height of the block above the ground is H = 12.6 m.
(a) In this case we assume the movable wall is locked in place. What is the 2nd harmonic frequency of a standing wave that could develop along the length of cable, d, that connects the wall to the pulley?
(b) How long would a tube with two open ends and full of air at 35oC need to be in order to have the same frequency as its 2nd harmonic?
(c) Now, assume the movable wall is released, and at the same moment a wave pulse is crated exactly at the location where the cable connects to the wall. What occurs first, the wave pulse arrives at the pulley or the block lands on the ground? What is the time difference between the two events?