Q. 1: (a) The force acting on the particle of mass m at time t is given by F = (acoswt)î + (bsinwt)j If the particle is initially it rest at the origin then, show that its position and velocity at any time t is given by (1– coswt)î+- (@t – sinwt)j mw? b -(1– coswt)j mw? -(sinwt)î + mw (b) Prove that for a conservative field F 6 F.dl = 0.
Q. 1: (a) The force acting on the particle of mass m at time t is given by F = (acoswt)î + (bsinwt)j If the particle is initially it rest at the origin then, show that its position and velocity at any time t is given by (1– coswt)î+- (@t – sinwt)j mw? b -(1– coswt)j mw? -(sinwt)î + mw (b) Prove that for a conservative field F 6 F.dl = 0.
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