Question

1a.

In the figure, a small 0.372 kg block slides down a frictionless surface through height h = 0.918 m and then sticks to a uniform vertical rod of mass M = 0.744 kg and length d = 2.83 m. The rod pivots about point o through angle before momentarily stopping. Find e. 0 A

1b. A certain gyroscope consists of a uniform disk with a 33.0 cm radius mounted at the center of an axle that is 11.0 cm long and of negligible mass. The axle is horizontal and supported at one end. If the disk is spinning around the axle at 1500 rev/min, what is the precession rate?

Answer 1

given Mo = 0, 372 Kg h = 0.918 m d=2.83m in=0.744kg coso ON h. des cose Initially it has It has P.EE PE = Mogh = 0.372X9-8149.918 PE = 3.35007576 N.m thais conveted to KE at botton ท g hi & m ² b VE Sagn V=H24395 ms befor sticking & after steking nomentem is conserved nov =(Mo tm) thy movi 60.372) CH-24398) V= 16:372+0. Juu] V= 1.4SH6S) MS b

18,926° This Kinetic energy with V=1-4146 m concests to potential energy block + mg 10/2 - 1 case myg d-dcose? food 2 V І (м. 2 mo gd[l-cosa) + mga [l-com] b +M) 3 [2372 7o. 21(185= [0.3724 0.7. 24 0.7min) go <r-cosa)