A body is executing S.H.M. under the action of force having maximum magnitude 50 N . When its energy is half kinetic and half potential, the magnitude of the force acting on the particle is

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Potential energy is a half of the total energy ​ ∴ 2 1 ​ m ω 2 x 2 = 2 1 ​ [ 2 1 ​ m ω 2 A 2 ] ∴ x 2 = 2 A 2 ​ or x = 2 ​ A ​ ​ Maximum force F m ​ = m ω 2 A Force at a distance x , F ′ = m ω 2 x ​ ∴ F m ​ F ′ ​ = A x ​ = 2 ​ 1 ​ ∴ F ′ = 2 ​ F m ​ ​ = 2 ​ 50 ​ = 25 2 ​ N ​

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