Problem 6. The circular plate shown rotates about its vertical diameter. At the instant shown, the angular velocity ₁ of the plate is 10 rad/s and is decreasing at the rate of 25 rad/s². The disk lies in the XY plane and Point D of strap CD moves upward. The relative speed u of Point D of strap CD is 1.5 m/s and is decreasing at the rate of 3 m/s². Determine (a) the velocity of D, (b) the acceleration of D. Answers: =0.75 +1.299]-1.732k m/s a=-28.6 +3.03-10.67k m/s² 200 mm x Z

Collars A and B are attached by a rod of length 30 cm, as shown below. The joint at A is a ball-and-socket and at B a pin joint. Collar A moves in the z direction, while the guide bar for collar B is on xy plane.At the instant shown,collar A is at a height of 24cm and collar B is moving with a speed of 3 m/s towards the x axis. Find the (a) angular velocity of the rod, and (b) the sliding of collarB.

Question 2 : A bead M slides without friction on a rigid wire ( T ) .  This rigid wire rotates around the Z axis of a fixed reference frame R ( O , x , y , z ) with constant angular velocity vectorok .  A rotating reference frame R ' ( 0 ' = 0 , üük ) is attached to the rigid wire ( T ) .  a) Determine the velocity and acceleration vectors of the bead M with respect to the rotating frame R' given that its position vector is : 7 - OM - ae , where a is positive constant.  b) Determine the fictitious forces applied to the bead M in the rotating frame R. c) Given that the normal force exerted on the bead M by the rigid wire is: N = N+ NK.  By applying the 2nd Law of Newton in the rotating frame R", deduce the components N and N

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