The wheel shown in the figure has a weight of 40 Ib and a radius of gyration of kG = 0.7 ft. It is attached to a spring that has a stiffness k = 2.5 lb/ft and an unstretched length of 1.5 ft. If the disk is released from rest in the position shown and rolls without slipping, determine its angular velocity at the instant G moves 4 ft to the left.

The 18-kg rod AB is pin-connected at A and subjected to a couple moment of M =15 N- m The rod is released from rest when the spring is unstretched at 0 = 30°. As the rod rotates, the spring always remains horizontal, because of the roller support at C. (Figure 1) Determine the rod' s angular velocity, measured clockwise, at the instant 0 = 60°. Express your answer using three significant figures. Enter positive value if the angular velocity is clockwise and negative value if the angular velocity is counterclockwise. vec rad/s k = 40 N/m 0.75 m M = 15 N- m

The rod AB is non-uniform with a radius of gyration of 4.00 ft with respect to a horizontal axis through the center of mass G. It weighs 161 lb. At the moment shown the rod has a counterclockwise angular velocity of 3.00 rad/sec, and the spring is compressed by 2.00 ft. Calculate the force constant of the spring that will reduce the angular velocity of the rod to 1.50 rad/sec when it reaches the horizontal position. Assume the blocks A and B are weightless.

The 10 kg wheel has a radius of gyration about its center O of ko = 300 mm. When the wheel is subjected to the couple moment, it slips as it rolls. Determine the angular acceleration of the wheel and the acceleration of the wheel's center O. The coefficient of kinetic friction between the wheel and the plane is = 0.2. (Figure 1) Figure M 100 N m < 1 of 1 0.4 m Part A Determine the angular acceleration of the wheel. Express your answer to three significant figures and include the appropriate units. α = Submit ■ Part B ao = μÅ X Incorrect; Try Again Value Submit Previous Answers Request Answer Determine the acceleration of the wheel's center O. Express your answer to three significant figures and include the appropriate units. μA Units Value X Incorrect; Try Again Units ? Previous Answers Request Answer ? Units input for part B