Question

A uniform rectangular block is being held on cart by a hinge at Point A and a roller at Point B (i.e. the block is not attached to Point B and force applied to the block at B is only in the x-direction). The cart is accelerating to the left at 3 m/s. What are the forces being applied to the block at Point A and Point B?

At what value of acceleration would the block begin to lose contact with the roller at Point B?

a. A uniform rectangular block is being held on cart by a hinge at Point A and a roller at Point B (i.e. the block is not attached to Point B and force applied to the block at B is only in the x-direction). The cart is accelerating to the left at 3 m/s. What are the forces being applied to the block at Point A and Point B? 100 kg . ס a = 3 m/s2 G 0.8 m 1.0 m 0.6 m b. At value of acceleration would the block begin to lose contact with the roller at Point B?

Answer 1

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solution q=3m15² m= lookg Draw FBD Ay A - a=3 m/s2 q An 0.5m Bx 0.3m W Appying Equilibrium Conditions - [ {fy=0 Ay = W = mg Ay = 100X918) (Ay = 981N Talking Moment about EMA=0

W X 0.3 = BxX 0.5 981 X013 = Bi X0.5 Bx z 588.6 N E Fx=0 Ax - Bx = ma Ax-588.6 = 10003 Ax=888.6N Acceleration at Block losses contact will A (ie Ro=0 0.5m mal w 03ml EMA ma' x 0.5-mg xo:3=0 Ta = 5.886 m/s² 1 2