F-450 i +370j+530 k (N) tmr where the force acts on it. Determine the vector of

Question

F-450 i +370j+530 k (N) tmr where the force acts on it. Determine the vector of the moment 0.9 Of the force about the POINT O in N-m ifPL0 is located at (ayz)-(-09,0-12)(m) 0-12 ore lue 15 7PP co rpm ri ro The cable drum shown rolls on the ground surface without slipping at a constant angular OR velocity of 85 rpm while cable is pulled horizontally to the right. In case A the cable IINIIMIIImmmmr unwinds from the top of the inner drum. In Case B the cable unwinds from the bottom of the inner drum. Assume the inner and outer drum radii are 730 mm and 1241 mm, respectively. Determine (a) the velocity in m/s of the cable in Case A, (b) the velocity in m/s of the cable in Case B and (c) the velocity in mis of the drum center 85 730 1241 8 score 29 value 1s

Explanation / Answer

A)the cable unwinds from the top,so

the radius R=1241mm=1.241 m

As v=wR

V=85 RPM=1.4 RPS

V=1.4*1.241=1.73 m/s.

B) here w=85 RPM=1.4 RPS

R=730 mm=0.730 m

So v=wr

V=1.4*0.730=1.022 m/s.

C)since there is no sliding, this is the case of pure rolling,

So Velocity of centree =wR

W=85 RPM

W=1.4 RPS

V=1.4*1.241=1.73 m/s.

This is equal to the velocity of the point of contact.

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