(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:

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(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
$20$

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Class 11 Questions

Class 11

Physics Questions

Chapter

Newton's Laws of Motion and Friction

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

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An object requires $500 \,N$ force to be pulled up on a $30^{\circ}$ frictionless smooth inclined plane at a constant speed. The weight of the object is

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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? $[g = 10\, m/s^2]$

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$A$ body starts falling freely from height $H$ and hits an inclined plane in its path at height $h$ from the ground. As a result of this perfectly elastic impact,the direction of the velocity of the body becomes horizontal. The value of $\frac{H}{h}$ for which the body will take the maximum time to reach the ground is . . . . . . .

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$A$ block is kept on a fixed smooth wedge whose vertical section is a curve $y = \frac{x^2}{\sqrt{3}}$ as shown in the figure,where $x$ represents the horizontal direction and $y$ represents the vertical direction. When released from a point where $y = \frac{1}{4\sqrt{3}}$,what will be its acceleration? $(g = 10 \ m/s^2)$

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$A$ 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:

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An object requires $500 \,N$ force to be pulled up on a $30^{\circ}$ frictionless smooth inclined plane at a constant speed. The weight of the object is

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? $[g = 10\, m/s^2]$

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