Need Help? Read O -2 points GioCP2 8 P027 My Notes Ask your read suppose a crate

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Need Help? Read O -2 points GioCP2 8 P027 My Notes Ask your read suppose a crate of mass 2.6 kg is placed on the plank in the figure below at a distance x 3.1 m from the left end. If the plank has a mass of 12 kg, find the forces exerted by the two supports on the plank. (Indicate the direction with the sign of your answer.) left support right support 3.0 m 7.0 m 2.0 submit Answer Save Progress practice Another Version o 1 44 points Previous Answers GioCP28 P041 My Notes Ask Your Teacher Two particles of mass m1 7 kg and m2 s 22 kg are connected by a massiess rod of length o 90 m. Find the moment of inertia of this system for rotations about the following pivot points. Assume the rotation axis is perpendicular to the rod.

Explanation / Answer

The net force in vertical direction is zero since the system is not accelerating upwards.

R + N - mg - Mg = 0

where R is the normal force exerted by left support and N is the normal force exerted by right support.

R + N = (2.6 + 12)9.8 = 143.08

Also, torque on this system is zero since the system is not rotating in any direction.

So, taking the torque about the left support we get:

2.6(9.8)(x - 3) + 12(9.8)(3) - N(7) = 0

=> 2.6(9.8)(3.1 - 3) + 12(9.8)(3) - N(7) = 0

=> N = 50.764 Newton

therefore, R = 143.08 - 50.764 = 92.316 Newton.

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