Aframe hanging on a wall is held by two cables. the tension in each cable is 30 n, and the cables make an angle of 45° with the horizontal, as shown in the picture. what is the weight of the frame? a) 10.2 n b) 21.2 n c) 32.4 n d) 42.4 n

option D) 42.4 N

The weight of the frame is balanced by the vertical component of tension.

W = T sin θ + T sin θ = 2 T sin θ

The tension in each cable is T = 30 N

Angle made by the cables with the horizontal, θ = 45°

⇒ W = 2×30 N × sin 45° = 2 × 30 N × 0.707 = 42.4 N

Hence, the weight of the frame is 42.4 N. Correct option is D.

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