An iron bolt of mass 51.5 g hangs from a string 33.3 cm long. The top end of the string is fixed. Without touching it, a magnet attracts the bolt so that it remains stationary, but is displaced horizontally 26.0 cm to the right from the previously vertical line of the string.

(a) Find the tension in the string. (b) Find the magnetic force on the bolt.

Question

Moran

Physics

29 October, 22:17

An iron bolt of mass 51.5 g hangs from a string 33.3 cm long. The top end of the string is fixed. Without touching it, a magnet attracts the bolt so that it remains stationary, but is displaced horizontally 26.0 cm to the right from the previously vertical line of the string.

(a) Find the tension in the string. (b) Find the magnetic force on the bolt.

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Answers (1)

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Mara Schultz · Answer 1

Let magnetic force F acts towards right and the string makes an angle of θ with the vertical in equilibrium. Let T be tension in equilibrium

T cos θ = mg

T sin θ = F

Dividing

Tan θ = F / mg

F = mg Tanθ

= 51.5 x 9.8 x 10⁻³ x 26 / 20.8 Tanθ = 26 / 20.8)

= 630.875 X 10⁻³ N