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  • A block of mass m is in contact with the cart C as shown in the figure. <img alt="" src="https://cdn.entrance360.com/media/uploads/2020/08/18/zegllqnz_eao1nk5jijpb2iecunameqhkn3l-ycbjc4or

A block of mass m is in contact with the cart C as shown in the figure.

The coefficient of static friction between the block and the cart is \mu. The acceleration \alpha of the cart that will prevent the block from falling satisfies

Option: 1

\alpha<\frac{\text{g}}{\mu}


Option: 2

\alpha>\frac{\text{mg}}{\mu}


Option: 3

\alpha>\frac{\text{g}}{\mu\text{m}}


Option: 4

\alpha\geq\frac{\text{g}}{\mu}


Answers (1)

best_answer

\\ \text{Pseudo force or fictitious force,} F_{\mathrm{fic}}=\mathrm{ma} \\ \text{Force of friction,}\ f=\mu N=\mu m \alpha \\ \text{The block of mass m will not fall as long as}\\ f \geq m g\\ \mu m \alpha \geq m g \\ \alpha \geq \frac{g}{\mu}

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Rakesh

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