Question: In the figure given below, the right-angled lever arm A-C is welded to Wheel A (radius of r = 200 mm) which is rolling

to Wheel A (radius of r = 200 mm) which is rolling

In the figure given below, the right-angled lever arm A-C is welded to Wheel A (radius of r = 200 mm) which is rolling against Wheel B (radius of r = 75 mm) without slipping. The lever arm is made from two bars each of length = 290 mm. y C x A Lbar B D Lrope Liber Cylinder aD The cylinder was originally released from rest. A constant acceleration of 500 mm/s has moved the cylinder down to the current position at time t = 6 seconds, where the cylinder is now rope = 125 mm below the centre of drum B. If the rope winds on a drum welded on Wheel A without changing the winding diameter, determine the velocity and acceleration of Point D relative to Point C at a time of t = 6 seconds. Note that all dimensions and positions shown are at the time t = 6 seconds! Answer the following questions to three significant digits. Be sure to use the correct signs in indicating the correct direction. 1. Determine the velocity of point D (top of cylinder) at the time t = 6 seconds. [1 mark] 3.000 i + 0.000 j m/s. 2. Determine the speed of point C at the time t = 6 seconds. [1 mark] |vc| = m/s 3. Determine the absolute velocity of point C at the time t = 6 seconds. [2 marks] vc = i+ j m/s. 4. Determine the relative velocity of point D with respect to C at time t = 6 seconds. [2 marks] VD/C = i+ jm/s. 5. Determine the absolute acceleration of point C at time t = 6 seconds. [2 marks] ac = jm/s. 6. Determine the relative acceleration of D with respect to C at time t = 6 seconds. [2 marks] aD/C = 2+ jm/s.

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