The figure shows two bodies connected by a rope passing through a pulley of radius R, such that the system is in equilibrium. The angle of inclination of the left plane with respect to the floor is θ and that of the right plane is ϕ. If the mass of the body on the left is m1, find the mass of the body on the right and the magnitude of the normal forces acting on both bodies.

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A: Given Data : Air-Acetylene unit

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Q: 5 m 150 KN B 5 m

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A: solution of above problem is below:

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Free Body Diagram

The system of forces acting on a body tends to either rotate it or make the body undergo motion. In general, when an external agent exerts a force on a body, the body undergoes translational motion and rotational motion. The body has six degrees of freedom under the influence of that force. Here, three degrees of freedom are from the translational motion while the other three are from the rotation motion. However, sometimes the bodies are not allowed to undergo any motion and are fixed, under such conditions the body is said to be constrained.