MCQ
A perfect smooth sphere $A$ of mass $2\  kg$ is in contact with a rectangular block $B$ of mass $4\  kg$ and vertical wall as shown in the figure. All surfaces are smooth. Find normal reaction by vertical wall on sphere $A$  .......... $N$
  • A
    $20$
  • B
    $25$
  • C
    $80$
  • $45$

Answer

Correct option: D.
$45$
d
Balancing forces

$M_{A} g \cos 37+N_{\text {wall }} \cos 53=N_{A}$

$N_{A B}+M_{A} g \sin 37=N_{\text {wall }} \sin 53$

$N_{A B}=M g \sin 37$

$N_{B}=M g \cos 37$

$M_{A}=2$

$M_{B}=4$

$N_{A B}=4 g \times \frac{5}{3}=\frac{12 g}{5}$

$\frac{12 g}{5}+2 g \times \frac{3}{5}=N_{\text {wall}} \frac{4}{5}$

$\frac{18 g}{5}=N_{w a l l} \times \frac{4}{5}$

$N_{\text {wall }}=\frac{9 g}{2}=45$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

A whistle producing sound waves of frequencies $9500\ Hz$ and above is approaching a stationary person with speed $v\ ms^{-1}$. The velocity of sound in air is $300\ ms^{-1}$. If the person can hear frequencies upto a maximum of $10,000\ Hz$, the maximum value of $v$ upto which he can hear whistle is ... $ms^{-1}$
If the increase in the kinetic energy of a body is $22\%$, then the increase in the momentum will be ........... $\%$
The kinetic energy of translation of $20\, gm$ of oxygen at $47°C$ is (molecular wt. of oxygen is $32 \,gm/mol$ and $R = 8.3\, J/mol/K)$
The transverse displacement of a string clamped at its both ends is given by 

$y\left( {x,t} \right) = 2\,\sin \,\left( {\frac{{2\pi }}{3}x} \right)\,\cos \,\left( {100\,\pi t} \right)$ 

where $x$ and $y$ are in $cm$ and $t$ is in $s$. Which of the following statements is correct ?

At what angle of elevation, should a projectile be projected with velocity $20 \,ms ^{-1}$, so as to reach a maximum height of $10 \,m$ ?
A bar magnet is released from rest along the axis of a very long, vertical copper tube. After some time the magnet:
A shell fired from the base of a mountain just clears it. If $\alpha$ is the angle of projection then the angular elevation of the summit $\beta$ is
Two particles are projected from the same point with the same speed $u$ such that they have the same range $R$, but different maximum heights, $h_1$ and $h_2$. Which of the following is correct ?
Five moles of helium are mixed with two moles of hydrogen to form a mixture. Take molar mass of helium $M_1=4\ g$ and that of hydrogen $M_2=2\ g$ The equivalent degree of freedom $f$ of the mixture is
A projectile is thrown with velocity $U=20\ m/s ± 5\%$ at an angle $60^o.$ If the projectile falls back on the ground at the same level then    ......... $m$ of following can not be a possible answer for range.