(13%) Problem 8: Penny is adjusting the position of a stand up piano of mass mp = 190 kg in her living room. The piano is 1p = I .45 min length. The piano is currently at an angle of 9p = 54 degrees to the wall. Penny wants to rotate the piano across the carpeted oor so that it is at up against the wall. To move the piano, Penny pushes on it at the point furthest from the wall. This piano does not have wheels, so you can assume that the friction between the piano and the rug acts at the center of mass of the piano. Randomized Variables mp=190 kg JP=1.45m 6p=54 degrees F .1 tllcupcrttuxmtl ' 33 '70 Part ( a) Write an expression for the minimum magnitude of the force F 5 in N Penny needs to exert on the piano to get it moving. Assume the corner of the piano on the wall doesn't slide and the static friction between the rug and the piano is as. Fs,mt'n = its mp 51(2) M Correct! A 33 % Part (h) The coefcient of kinetic friction between the carpet and the piano is pk = 0.27. Once the piano starts moving, calculate the torque IP in N -m that Penny needs to apply to keep moving the piano at a constant angular velocity. _ Grade Summary Ip I Deductions Potential 100% Submissions . Attempts remaining: _ (_ per attempt) detailed \\iew tanhO Degrees O Radians Submit Hint l I give up! Hints: deduction per hint. Hints remaining: i Feedback: deduction per feedback. A 33 '79 Part (c) Calculate the amount of work Wp in J Penny does on the piano as she rotates it. .ul mm\"... a. mi cm\". H I I r