J. L. Meriam L.G. Kraige Engineering Mechanics 1.The disk A rotates about the vertical z-axis with a constant speed w = iJ = r.13 rad/s.Simultaneously, the hinged arm OB is elevated at the constant rate 4> = 211"/3 rad/s. At time t = 0, both 8 = 0 and .. O. The angle 8 is measured from the fixed reference x-axis. The small sphere P slides out along the rod according to R .. 50 + 200t2, where R is in millime­ ters and t is in seconds. Determine the magnitude of the total acceleration a of P when t - s. 2. Collars A and B slide along the fi.xed right-angle rods and are connected by a cord of length L. Determine the acceleration a, of collar B as a function of y if collar A is given a constant upward velocity VA• 3.The coefficient of static friction between the flat bed of the truck and the crate it carries is 0.30. Deter­ mine the minimum stopping distance s which the truck can have from a speed of 70 km/h with con­ stant deceleration ifthe crate is not to slip forward. 4.A man pulls himself up the 15° incline by the method shown. Ift he combined mass of the man and cart is 100 kg, determine the acceleration of the cart if the man exerts a pull of 175 N on the rope. Neglect all friction and the mass of the rope, pulleys, and wheels. 5.A small coin is placed on the horizontal surface of the rotating disk. If the disk starts from rest and is given a constant angular acceleration 0 = a, deter­ mine an expression for the number of revolutions N through which the disk turns before the coin slips. The coefficient of static friction between the coin and the disk is µ,,.