The homogeneous thin bar ab shown below has a mass of m and

Question

Problem 1 -

Given: An inhomogeneous disk (having a mass of m, outer radius R, mass center at G and centroidal radius of gyration of k_G) moves along a SMOOTH horizontal surface. The distance from the geometric center O of the disk to the center of mass G is given by e. At the instant shown, G is at the same vertical height as O as the disk translates to the right with a speed of v_O.

Determine the normal force of the ground acting at the contact point C at this instant.

Use the following parameters in your analysis: m = 10 kg, R = 0.5 m, e = 0.3 m, k_G = 0.4 m and v_O = 20 m/s.

Problem 2 -

Given: The homogeneous thin bar AB shown below has a mass of M and a length of L. The bar is supported by lightweight, inextensible cable BO at end B and by a smooth, inclined wall at end A. The bar is released from rest with the bar in a horizontal orientation and with cable BO being vertical.

Determine the tension in cable BO immediately after the bar is released.

Use the following parameters in your analysis: M = 100 kg, L = 3 m and θ = 53.13^o.