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A block of mass m is placed on the top o...

A block of mass m is placed on the top of a 6kg cart such that the time period of the system is 0.75 s assuming there is no slipping. If the cart is displaced by 50 mm from its equilibrium position and released, then the coefficient of static friction `mu_(s)` between block and cart is just sufficient to prevent the block from sliding. The value of m and `mu_(s)` respectively are (Take `g = 9.8 m//s^(2))`

A

`1.63 kg, 0.251`

B

`2.55 kg, 0.385`

C

`3.42 kg, 0.632`

D

`4.28 kg, 0.876`

Text Solution

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The correct Answer is:
B
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