(B) Let $m_2 = 300 \ g$ and $m_1 = 200 \ g$. The angle of inclination is $\theta = 30^{\circ}$.For the block of mass $m_2$,the equation of motion is:

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

(B) Let $m_2 = 300 \ g$ and $m_1 = 200 \ g$. The angle of inclination is $\theta = 30^{\circ}$.For the block of mass $m_2$,the equation of motion is: $m_2 g \sin \theta - T = m_2 a$ $(i)$For the block of mass $m_1$,the equation of motion is: $T - m_1 g \sin \theta = m_1 a$ (ii)Adding equations $(i)$ and (ii),we get:$(m_2 - m_1) g \sin \theta = (m_1 + m_2) a$$a = \frac{(m_2 - m_1) g \sin \theta}{m_1 + m_2}$Substituting the values: $a = \frac{(300 - 200) g \sin 30^{\circ}}{300 + 200}$$a = \frac{100 \times g \times 0.5}{500} = \frac{50}{500} g = \frac{1}{10} g$$a = 0.1 g = 10 \% \text{ of } g$.

Class 11 Physics Newton's Laws of Motion and Friction Motion of Body (or Connected Bodies) on an inclined plane

Medium

$A$ double inclined plane as shown in the figure has a fixed horizontal base and smooth faces with the same angle of inclination of $30^{\circ}$. $A$ block of mass $m_2 = 300 \ g$ is on one face and is connected by a cord passing over a frictionless pulley to a second block of mass $m_1 = 200 \ g$ kept on the other face. The acceleration with which the system of the blocks moves is ........ $\%$ of acceleration due to gravity $(g)$.

AP EAMCET 2018 All AP EAMCET

A
$5$
B
$10$
C
$15$
D
$20$

Explore More

Browse All

Question Bank

All Subjects

Class 11 Questions

Class 11

Physics Questions

Chapter

Newton's Laws of Motion and Friction

Subtopic

Motion of Body (or Connected Bodies) on an inclined plane

Previous Year

AP EAMCET 2018 Paper All AP EAMCET years →

The acceleration of the system of two bodies over the wedge as shown in the figure is ....... $m/s^2$. (Take $g = 10 \ m/s^2$)

Medium

View Solution

Find the reading of the spring balance as shown in the figure. Assume that mass $M$ is in equilibrium and the block of mass $2.5 \text{ kg}$ is also in equilibrium. All surfaces are smooth. (Take $g = 10 \text{ m/s}^2$) (in $\text{ N}$)

Difficult

View Solution

$A$ body of mass $10 \ kg$ moves a distance of $10 \ m$ with a constant velocity on a smooth inclined plane of angle $\theta = 30^\circ$. Calculate the work done by the force acting on the body in $J$. $[g = 10 \ m/s^2]$

Medium

View Solution

$A$ frictionless wire $AB$ is fixed on a circle of radius $R$. $A$ very small bead slips on this wire. The time taken by the bead to slip from $A$ to $B$ is:

Difficult

View Solution

Two masses $M_1$ and $M_2$ are attached to the ends of a light string which passes over a massless pulley attached to the top of a double inclined smooth plane of angles of inclination $\alpha$ and $\beta$. The tension in the string is:

Medium

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

Similar Questions

The acceleration of the system of two bodies over the wedge as shown in the figure is ....... $m/s^2$. (Take $g = 10 \ m/s^2$)

Find the reading of the spring balance as shown in the figure. Assume that mass $M$ is in equilibrium and the block of mass $2.5 \text{ kg}$ is also in equilibrium. All surfaces are smooth. (Take $g = 10 \text{ m/s}^2$) (in $\text{ N}$)

$A$ body of mass $10 \ kg$ moves a distance of $10 \ m$ with a constant velocity on a smooth inclined plane of angle $\theta = 30^\circ$. Calculate the work done by the force acting on the body in $J$. $[g = 10 \ m/s^2]$

$A$ frictionless wire $AB$ is fixed on a circle of radius $R$. $A$ very small bead slips on this wire. The time taken by the bead to slip from $A$ to $B$ is:

Two masses $M_1$ and $M_2$ are attached to the ends of a light string which passes over a massless pulley attached to the top of a double inclined smooth plane of angles of inclination $\alpha$ and $\beta$. The tension in the string is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module