How much torque must the pin exert to keep the rod from rotating if the rod has

Question

How much torque must the pin exert to keep the rod from rotating if the rod has a length L = 60 cm and a mass m = 3.5 kg? Calculate this torque about an axis that passes through the point where the pin enters the rod and is perpendicular to the plane of the figure. _______ N.m _____________ A 3.0 m long rigid beam with a mass of 100 kg is supported at each end. An 60 kg student stands 2.0 m from support 1. How much upward force does each support exert on the beam? right support _________ N left support _________ N

Explanation / Answer

Number 2)

Apply torque = Fr for each mass at the distance from the Pin...

Torque = (3.5)(9.8)(.3) + (.5)(9.8)(.6)

Torque = 13.2 Nm Counterclockwise

Number 3)

Start by placing the pivot point at the left support and balance the torques...

(100)(9.8)(1.5) + (60)(9.8)(2) = F(3)

F = 940.8 N for the right support.

Then for the left, balance the forces...

(100)(9.8) + (60)(9.8) = 940.8 + F

F = 627.2 N for the left support

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