1) A block of mass M is constrained by rollers to motion in the x direction. A small mass m is attached at point B to the end of massless rigid arm. The other end of the arm is attached at a point A which is fixed to the cart. Together the arm and mass make up a rotor which rotates about an axis fixed at A to the cart. The angle the arm makes with a horizontal reference passing through A is given by 0 = wt. The length of the arm is "e", the distance from A to B. The position of the cart in the inertial frame is given by the coordinate xi. Find the horizontal component of the force on the mass M exerted by rod AB at t = 2s. (M = a, m =b (kg), w = axb (rad),e= b) Note: a and b are the last two digits (ID: XXXXXXab). if student ID is 20160284 a=8 and b=4. If either a or b is zero then take it as 2. M m B Answer:

1) A block of mass M is constrained by rollers to motion in the x direction. A small mass m is attached at point B to the end of massless rigid arm. The other end of the arm is attached at a point A which is fixed to the cart. Together the arm and mass make up a rotor which rotates about an axis fixed at A to the cart. The angle the arm makes with a horizontal reference passing through A is given by 0 = wt. The length of the arm is "e", the distance from A to B. The position of the cart in the inertial frame is given by the coordinate xi. Find the horizontal component of the force on the mass M exerted by rod AB at t = 2s. (M = a, m =b (kg), w = axb (rad),e= b) Note: a and b are the last two digits (ID: XXXXXXab). if student ID is 20160284 a=8 and b=4. If either a or b is zero then take it as 2. M m B Answer: