The grooved pulley of mass m is acted on by a constant force F through a cable which is wrapped securely around the exterior of the pulley.

Question

The grooved pulley of mass m is acted on by a constant force F through a cable which is wrapped securely around the exterior of the pulley. The pulley supports a cylinder of mass M which is attached to the end of a cable which is wrapped securely around an inner hub. If the system is stationary when the force F is first applied, determine the upward velocity v of the supported mass after 4 seconds. Use the values m = 30 kg, M = 11 kg, ro = 345 mm, ri = 230 mm, kO = 250 mm, and F = 85 N. Assume no mechanical interference for the indicated time frame and neglect friction in the bearing at O. What is the time-averaged value of the force T in the cable which supports the 11-kg mass?

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Edana Edana 4 years 2021-07-27T10:55:55+00:00 1 Answers 25 views 0

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  1. thanhha
    0
    2021-07-27T10:56:58+00:00
    Reply

    Answer:

    Answer; v= 1.2654m/s

    T= 110.76N

    Explanation:

    Apply Momentum Principle

    Fdtro – Mgridt = Iow +Mvr

    Fdtro – Mgridt = mK2 v/r1 + Mvr1

    85 x 3x 0.345 -11 x 9.81 x 0.23 x 3 =30 x 0.25 x 0.25 x v/0.23 + 11 x v x 0.23 =

    v = 1.2654m/s

    To find the timed average value

    Tdt -Mgdt =MV

    T x 3 – 11 x 9.81 x 3 = 11 x 0.778

    T= 110.76N

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