Two wooden blocks are moving on a smooth hori | vedclass

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

Question

(A) Let $a$ be the acceleration of the system. The force $P$ is applied to the block of mass $M$. The total mass of the system is $(M + m)$.According

Vedclass · Accepted Answer

$(M + m)g 	an \beta$

Vedclass · Answer

(A) Let $a$ be the acceleration of the system. The force $P$ is applied to the block of mass $M$. The total mass of the system is $(M + m)$.According to Newton's second law,$P = (M + m)a$,so $a = \frac{P}{M + m}$.For the block of mass $m$ to remain stationary with respect to $M$,it must move with the same acceleration $a$ in the horizontal direction.The forces acting on mass $m$ are:$1$. Gravitational force $mg$ acting downwards.$2$. Normal reaction $N$ from the surface of $M$,acting perpendicular to the inclined surface.Resolving the forces on $m$ in the horizontal and vertical directions:Horizontal: $N \sin \beta = ma$Vertical: $N \cos \beta = mg$Dividing the two equations: $\frac{N \sin \beta}{N \cos \beta} = \frac{ma}{mg} \implies 	an \beta = \frac{a}{g} \implies a = g 	an \beta$.Substituting $a$ into the force equation: $P = (M + m)g 	an \beta$.

Two wooden blocks are moving on a smooth horizontal surface such that the mass $m$ remains stationary with respect to the block of mass $M$ as shown in the figure. The magnitude of force $P$ is

Similar Questions

The vector for sleeping sickness is

Which of the following is incorrect for physisorption?

The $24$ hour (diurnal) rhythm of our body,such as the sleep-wake cycle,is regulated by the hormone:

Degenerate electron pressure will not be sufficient to prevent core collapse of a white dwarf if its mass becomes $n$ times the solar mass. The value of $n$ is:

The charge deposited on the $4\,\mu F$ capacitor in the circuit is

Vedclass Test Series

Exam Paper Generator

Online Exam Module