For the given system,the acceleration of the | vedclass

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

Question

(B) Let $m_1 = 100 \ kg$ be the mass on the incline with angle $\alpha = 37^\circ$ and $m_2 = 50 \ kg$ be the mass on the incline with angle $\beta =

Vedclass · Accepted Answer

$1.33$

Vedclass · Answer

(B) Let $m_1 = 100 \ kg$ be the mass on the incline with angle $\alpha = 37^\circ$ and $m_2 = 50 \ kg$ be the mass on the incline with angle $\beta = 53^\circ$.The forces acting along the inclines are $F_1 = m_1 g \sin \alpha$ and $F_2 = m_2 g \sin \beta$.Taking $g = 10 \ ms^{-2}$,we calculate the forces:$F_1 = 100 	imes 10 	imes 0.60 = 600 \ N$.$F_2 = 50 	imes 10 	imes 0.80 = 400 \ N$.Since $F_1 > F_2$,the system accelerates towards the $100 \ kg$ block.The net force is $F_{net} = F_1 - F_2 = 600 - 400 = 200 \ N$.The total mass of the system is $M = m_1 + m_2 = 100 + 50 = 150 \ kg$.The acceleration is $a = \frac{F_{net}}{M} = \frac{200}{150} = \frac{4}{3} \approx 1.33 \ ms^{-2}$.

For the given system,the acceleration of the system is ........... $ms^{-2}$ $(\sin 37^\circ = 0.60, \sin 53^\circ = 0.80)$.

Similar Questions

What is the normal force on a body of mass $m$ placed on an inclined plane of angle $\theta$?

In the arrangement shown,the $2\, kg$ block is held to keep the system at rest. The string and pulley are ideal. When the $2\, kg$ block is set free,by what amount does the tension in the string change? $[g = 10\, m/s^2]$

Two masses of $8\,kg$ and $4\,kg$ are connected by a string as shown in the figure over a frictionless pulley. The acceleration of the system is ............ $m/s^2$.

As shown in the figure,two spheres are released from point $A$ along paths $AB$ and $AC$ respectively. If both surfaces are smooth,find the time taken by both spheres to reach the bottom of the incline. (Take $g = 10 \, m/s^2$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module