MMAN2300 S2 2014 Problem Solving Exercise #5

The uniform rectangular plate shown below is falling vertically with speed v1 = 10 m/s when its small

peg A engages in the receptacle. Ignore friction between the peg and receptacle. The mass of the

plate is 4.5 kg and the dimension b is 80 cm.

a) Draw an FBD of the plate during the impact b) Find the mass moment of inertia of the plate about G c) Find the angular momentum of the plate about G just before impact d) Find the mass moment of inertia of the plate about A e) Find the angular momentum of the plate about A just before impact f) Use an appropriate impulse/momentum relationship in order to find the angular velocity

of the plate just after impact g) Find the energy lost during the impact h) Find the angular momentum of the plate about G just after the impact i) Find the velocity of G just after impact j) If the duration of the impact is 0.001 seconds, find the average force exerted by the

receptacle on the plate at A. Suggested additional exercise (NOT for marks): show that peg A does not remain in contact with the receptacle