In the given arrangement the maximum value of $F$ for which there is no relative motion between the blocks
Medium
Download our app for free and get started
(c)
$\left(m_1+m_2\right) a_{\text {max }}=f$
$\rightarrow F=\mu N$
$N=m_1 g$
$m_2 a_{\text {max }}=\mu m_1 g$
$a_{\text {max }}=\mu \frac{m_1}{m_2} g$
$F=\left(m_1+m_2\right) \mu \frac{m_1}{m_2} g$
$= m_2\left(\frac{m_1}{m_2}+1\right) \mu \frac{m_1}{m_2} g$
$F =\mu m_1\left(\frac{m_1}{m_2}+1\right)$
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1A force $f$ is acting on a block of mass $m$. Coefficient of friction between block and surface is $\mu$. The block can be pulled along the surface if :-View Solution
- 2A block of $10 \,kg$ mass is placed on a rough inclined surface as shown in figure. The acceleration of the block will beView Solution
- 3In figure, two blocks $M$ and $m$ are tied together with an inextensible and light string. The mass $M$ is placed on a rough horizontal surface with coefficient of friction $\mu$ and the mass $m$ is hanging vertically against a smooth vertical wall. The pulley is frictionless. Choose the correct statement $(s)$ related to the tension $T$ in the stringView Solution
- 4View SolutionWhich one of the following statements is incorrect?
- 5A motor car has a width $1.1$ m between wheels. Its centre of gravity is $0.62$ m above the ground and the coefficient of friction between the wheels and the road is $0.8$. ...... $m/s$ is the maximum possible speed, if the centre of gravity inscribes a circle of radius $15$ m ? (Road surface is horizontal)View Solution
- 6A rod $(AB)$ is attached to a fixed point $(C)$ using a light rope $(AC)$. The other end of the rod $(B)$ is sitting on ice with negligible friction and the system is in stationary position. Which of the following can be the equilibrium configuration of this system?View Solution
- 7A train is moving with a speed of $12 \mathrm{~m} / \mathrm{s}$ on rails which are $1.5 \mathrm{~m}$ apart. To negotiate a curve radius $400 \mathrm{~m}$, the height by which the outer rail should be raised with respect to the inner rail is (Given, $g=$ $10 \mathrm{~m} / \mathrm{s}^2$ ) :View Solution
- 8Below are two statements. One is labeled as Assertion $(A)$ and the other as Reason $(R).$View Solution
Assertion $(A):$ The property of an object that allows it to regain its original shape after the external force applied to it is removed is called elasticity.
Reason $(R):$ The restoring force depends on the intermolecular and interatomic forces in a solid.
In the context of the above statements, choose the most appropriate answer from the options given below:
- 9Imagine $a$ situation in which the horizontal surface of block $M_0$ is smooth and its vertical surface is rough with $a$ coefficient of friction $\mu$ Consider a special situation in which both the faces of the block $M_0$ are smooth, as shown in adjoining figure. Mark out the correct statement $(s)$View Solution
- 10A mass of $2 \,kg$ is whirled in a horizontal circle by means of a string at an initial speed of $5$ revolutions per minute. Keeping the radius constant the tension in the string is doubled. The new speed is nearly ....... $rpm$View Solution