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A uniform cylinder rests on a cart as sh...

A uniform cylinder rests on a cart as shown. The coefficient of static friction between the cylinder and the cart is `0.5` If the cylinder is `4 cm` in diameter and `10 cm` in height, which of the following is the minimum acceleration of the cart needed to cause the cylinder to tip over ?
.

Text Solution

Verified by Experts

The correct Answer is:
4
Maximum acceleration of cart so that cylinder does not slip: `a_(m)=mug=0.5xx10=5ms^(-2)`
For tipping over : let accelerationn of cart a.

considering torque about `A`:
`Maxxgemgxx2`
`implies age2g/5=4ms^(-2)`
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