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A block slides down a curved frictionles...

A block slides down a curved frictionless track and then up an inclined plane as in figure. The coefficient of kinetic friction between the block and incline is `mu_k`. Find the maximum height reached by the clock.

Text Solution

Verified by Experts

Friction is only force which is changing mechanical energy of system.
`W_(f riction)=DeltaME`.
`-mu_kmgdcostheta=(mgy_(max)-mgh)`
where `d=(y_(max))/(sintheta)` `:.mgy_(max)=mgh-mu_kmgy_(max)cottheta`
Solving, `y_(max)=(h)/(1+mu_kcottheta)`
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Knowledge Check

  • A block slides down a curved frictionless track and then up an incline as shown in figure. The coefficient of kinetic friction between block and incline is mu . The maximum height reached by block is

    A
    `(h)/(1 + mu cos theta)`
    B
    `(h)/(1 + mu tan theta)`
    C
    `(h)/(1 + mu cot theta)`
    D
    `(h)/(mu tan theta)`

  • A block is stationary on an inclined plane If the coefficient of friction between the block and the plane is mu then .

    A
    `mu gttan theta`
    B
    `f =mg sin theta`
    C
    `f = mu mg cos theta`
    D
    the reaction of the ground on the block is mg cos `theta`

  • An ice cube is kept on an inclined plane of angle 30^(@) . The coefficient to kinetic friction between the block and incline plane is 1//sqrt(3) . What is the acceleration of the block ?

    A
    Zero
    B
    `2 m//s^(2)`
    C
    `1.5 m//s^(2)`
    D
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