Mathematics (AS & A Level) · May / June 2025 · Paper 42 · Question 3
9709
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2.4 m 2.6 m 35 N P A particle P of mass m kg is attached to one end of a light inextensible string of length 2.6 m. The other end of the string is attached to a fixed point on a horizontal ceiling, and the string is taut. The particle is held in equilibrium by a force of magnitude 35 N, acting in a vertical plane which is perpendicular to the ceiling and contains the string. The force acts in a direction perpendicular to the string (see diagram). The tension in the string is T N and the vertical distance of P from the ceiling is 2.4 m. Find, in either order, the value of m and the value of T. [4]
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