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A child pushes a box that has mass m up ...

A child pushes a box that has mass m up an incline plane at an angle `alpha` above the horizontal. The coefficients of friction between the incline and the box are `mu_(s)` and `mu_(k)`. The force applied by the child is horizontal, (a )If `mu_(s)` is greater than some critical value, the child cannot start the box moving up the incline, no matter how hard he pushes. Calculate this critical value of `mu_(s)`. (b) Assume that `mu_(s)` is less than this critical value. What magnitude of force must the child apply to keep the box moving up the plane at constant speed.
`[cot alpha,(mg(sinalpha+mu_(k)cosalpha))/(cosalpha-mu_(k)sinalpha)]`

Answer

Step by step text solution for A child pushes a box that has mass m up an incline plane at an angle alpha above the horizontal. The coefficients of friction between the incline and the box are mu_(s) and mu_(k). The force applied by the child is horizontal, (a )If mu_(s) is greater than some critical value, the child cannot start the box moving up the incline, no matter how hard he pushes. Calculate this critical value of mu_(s). (b) Assume that mu_(s) is less than this critical value. What magnitude of force must the child apply to keep the box moving up the plane at constant speed. [cot alpha,(mg(sinalpha+mu_(k)cosalpha))/(cosalpha-mu_(k)sinalpha)] by PHYSICS experts to help you in doubts & scoring excellent marks in Class 11 exams.

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Knowledge Check

  • A block of mass m slides down an inclined plane which makes an angle theta with the horizontal. The coefficient of friction between the block and the plane is mu . The force exerted by the block on the plane is

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    `mumg theta`
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    ` mg sin theta`
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