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Physics

A train is moving along a straight horizontal track. A pendulum suspended from the roof of one of the carriages of train is inclined at four degree to the vertical. Calculate tge acceleration of train

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  1. Le A be the angle of inclination (4 degrees).
    T = string tension force.
    Write the vertical and horizontal Newton's second law equations
    W = M g = T cos A
    M a = T sin A
    Eliminate T

    a/g = tan A = 0.0699
    Solve for a

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  2. mg=TcosA
    ma=TsinA
    a/g=sinA/cosA
    a/g=tanA
    =0.0699
    a=g*0.0699=9.81*0.0699= 0.6857m/s^2

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