physics

A ball of mass m = 0.2 kg is attached to a (massless) string of length L = 3 m and is undergoing circular motion in the horizontal plane, as shown in the figure.

What should the speed of the mass be for θ to be 46°?


What is the tension in the string?

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  1. I guess we are talking about the ball hanging from a hook and 46 degrees above vertical?

    Ac = m v^2/r
    T = tension
    T sin 46 = m v^2/r
    T cos 46 = m g
    so
    tan 46 = v^2/(rg)
    v^2 = r g tan 46
    but
    r = 3 sin 46
    so
    v^2 = (3 sin 46)(9.8)tan 46

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