d; and the 1.5 kg piston P are connected through the mechanism shown. 90mm AB crank rotates at constant 1200 rpm counterclockwise and an

5. A motor is using a large pulley to pull a crate with a mass of m= 200 kg up a 30 degree incline. The pulley has a mass of m = 50 kg, a radius of r = 0.5 m and a radius of gyration of ko = 0.25 m. The motor supplies a torque of M = (500 +1500) N*m to the pulley. If the crate starts from rest and the coefficient of kinetic friction between the crate and ground is µ = 0.2 (assume the crate immediately starts moving, so no static friction analysis needed). Determine the speed of the crate after it travels 4m. M 777 30°

Question 2 A wooden block of mass 6 kg resting on a horizontal plane is pulled by force Q inclined 30° to the horizontal with respect to the positive x-axis. i. Draw a free body diagram for the block What is the minimum value of Q required to start sliding if µ=0.3 and µ=0.35. Determine the value of maximum friction between the pair of surfaces ii. ii. iv. Determine the value of kinetic friction

Q6. A wheel with a mass m = 25 kg, rolling radius r = 0.35 m and centroidal radius of gyration k = 0.3 m, rests on a cart of mass M = 50 kg. as shown in Figure Q6. The coefficients of friction between the wheel and the cart are =.3 and =0.2, respectively. You are required to determine the maximum horizontal force P that may be applied to the cart for which the wheel not slip as it begins to roll on the cart. Your solution must contain the following information in the order as listed: (a) Identification of the type of ensuing motion of the wheel and the cart. (b) (c) P (d) Free-body, matic and kinetic diagrams of the system. Statements in readily usable format of the relevant kinetic and kinematic relationships with respect to a global reference axes system. Details, in a concise and systematic way, of calculations of the maximum value of P. M Figure Q6 m, r, k •Hs, Hk