Answer :
Final answer:
To find the forces of support for the beam supporting a metallic sphere, we need to consider the equilibrium of the system and balance the moments around the point of support.
Explanation:
To find the forces of support, we need to consider the equilibrium of the system. Since the beam supports a weight of 400 N and the metallic sphere placed at one end weighs 500 N, the forces of support can be determined by balancing the moments around the point of support. Using the equation Στ = 0, where τ is the torque, we can calculate the forces of support.
Let's assume the force of support at the other end of the beam is F, and the distance between the point of support and the metallic sphere is d. Therefore, the torque produced by the weight of the beam is 400 N x 1.5 m, which is equal to the torque produced by the metallic sphere, 500 N x (1.5 m - d).
Equating the two torques, we get 400 N x 1.5 m = 500 N x (1.5 m - d). Solving this equation will give us the distance d and the force of support F.
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