The 100 kg block A and 30 kg block B are released from rest Determine a) the velocities of A and B 4 sec. later. b) The tension in the cable.

2. Block 1 of mass m, slides from rest along a frictionless ramp from height h = 1.60 m and then collides (completely inelasticly) with stationary block 2 of mass m2 = 3.00 m.. After the collision, the two blocks slide into a region where the coefficient of kinetic friction is µx = 0.300 and come to a stop in distance d within that region. a) What is the speed of m, when it reaches the bottom of the ramp? b) What is the speed of the combination of the two blocks after the collision? c) What is the value of distance d?

3. include free body diagram

3) When the rope is at an angle of a= 30° the 1-1b sphere A has a speed vo= 4 ft/s. The coefficient of restitution between A and the 2-1b wedge B is 0.7 and the length of the rope /= 2.6 ft. The spring constant has a value of 2 lb/in and 0= 20°. Determine: a) Velocities of A and B immediately after impact b) Maximum deflection of the spring assuming A doesn't strike B again. a B

An object of mass m1 slides on a sloped block of mass M2, which in turn slides on a horizontal surface. The slope angle is a constant 3, and both masses are initially at rest. There is no friction between any of the objects, and the masses are subject to the force of gravity -mgêy. Use as co- ordinates the horizontal position x2 of mass m2, and the height y1 of mass m1, as shown in the y4 Y1 M2 x2 diagram to the right. Find the equation of motion of block 2, ä2(t). The expression should only include expressions involving constants: M2, m1, g, and B.