Sticking Of A Block With Accelerated Cart MCQ - Practice Questions with Answers

While solving with the help of the concept of pseudo force.

When a cart moves with some acceleration toward right then a pseudo force (ma) acts on block toward left.

This force (ma) is an action force by a block on the cart. 

Now block will remain static w.r.t. block. If friction force= μR≥mg

For equilibrium condition

$$
\begin{aligned}
& \mu m a \geq m g \\
& a \geq \frac{g}{\mu}
\end{aligned}
$$

$$
\mathrm{R}=\mathrm{ma}
$$

$$
\begin{aligned}
\therefore & a_{\min }=\frac{g}{\mu} \\
& F_{\min }=(M+m) \frac{g}{\mu}
\end{aligned}
$$

Pseuda force (ma) acts on block towards left
$\mathrm{F}_{\text {min }}=$ Minimum force
$\mathrm{a}_{\text {min }}=$ minimum acceleration cart
$M_1 m$ are masses of the cart and block respectively