PhysicsA pendulum of mass m hangs from a support fixed to a trolley. The direction of the string (i . e ., angle θ ) when the trolley rolls up a plane of inclination α with acceleration ‘a’ is 

A pendulum of mass m hangs from a support fixed to a trolley. The direction of the string (i . e ., angle θ ) when the trolley rolls up a plane of inclination α with acceleration 'a' is 

  1. A

    Zero

  2. B

    tan-1 α 

  3. C

    tan-1a+g sin αg cos α

  4. D

    tan-1ag

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    Solution:

    Tsinθ=ma+mgsinα...(i)

    Tcosθ=mgcosα...(ii)

    tanθ=α+gsinαgcosα

    θ=tan-1a+g sin αg cos α

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