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26 April, 06:38

The uniform 12 ft pole is hinged to the truck bed and released from the vertical position as the truck starts from rest with an acceleration of 3 ft/sec^2.

If the acceleration remains constant during the motion of the pole, calculate the angular velocity ω of the pole as it reaches the horizontal position.

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  1. 26 April, 06:51
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    w = 0.886 rad / s

    Explanation:

    Angular and linear variables are related

    a = α r

    where a is the linear acceleration, α the angular acceleration and r the radius of gyration

    α = a / r

    the angular velocity we can find it

    w² = w₀² + 2 α θ

    the initial angular velocity is zero, the angles to be horizontal is

    θ = π / 2 rad

    we substitute

    w = √ 2 a / r θ

    we calculate

    w = √ (2 3/12 π/2)

    w = 0.886 rad / s
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