Two wooden blocks of masses M and m are place | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) Let the acceleration of the system be $a$ towards the right.For the block of mass $m$ to remain stationary with respect to the block of mass $M$,t

Vedclass · Accepted Answer

$(M+m) g 	an \beta$

Vedclass · Answer

(A) Let the acceleration of the system be $a$ towards the right.For the block of mass $m$ to remain stationary with respect to the block of mass $M$,the pseudo force $ma$ acting on $m$ must balance the component of gravity along the incline.In the frame of the block $M$,the forces acting on $m$ are:$1$. Gravity $mg$ acting downwards.$2$. Normal force $N$ perpendicular to the incline.$3$. Pseudo force $ma$ acting horizontally to the left.Resolving the forces along the incline,for equilibrium:$ma \cos \beta = mg \sin \beta$$a = g \frac{\sin \beta}{\cos \beta} = g 	an \beta$Now,considering the whole system of mass $(M+m)$ moving with acceleration $a$ under the force $P$:$P = (M+m) a$Substituting the value of $a$:$P = (M+m) g 	an \beta$

Two wooden blocks of masses $M$ and $m$ are placed on a smooth horizontal surface as shown in the figure. If a force $P$ is applied to the system as shown in the figure such that the mass $m$ remains stationary with respect to the block of mass $M$,then the magnitude of the force $P$ is

Similar Questions

$A$ spring balance is attached to the ceiling of a lift. $A$ man hangs his bag on the spring and the spring balance reads $49 \,N$, when the lift is stationary. If the lift moves downward with an acceleration of $5 \,m/s^2$, the reading of the spring balance will be $(g = 9.8 \,m/s^2)$. (in $\,N$)

$A$ trolley is sliding freely down an inclined plane as shown in the figure. The angle $(\alpha)$ that the string of the pendulum makes with the ceiling of the trolley is equal to ..........

$A$ man weighs $80\,kg.$ He stands on a weighing scale in a lift which is moving upwards with a uniform acceleration of $5\,m/s^2.$ What would be the reading on the scale? $(g = 10\,m/s^2)$ ............ $N$

The horizontal acceleration that should be given to a smooth inclined plane of angle $\theta = \sin^{-1}\left(\frac{1}{l}\right)$ to keep an object stationary on the plane,relative to the inclined plane is:

$A$ block of mass $m$ is placed on a smooth wedge of inclination $\theta$. The whole system is accelerated horizontally so that the block does not slip on the wedge. The force exerted by the wedge on the block ($g$ is acceleration due to gravity) will be

Vedclass Test Series

Exam Paper Generator

Online Exam Module