$A$ block of mass $M$ is placed on $a$ horizontal surface and it is tied with an inextensible string to $a$ block of mass, as shown in figure. A block of mass $m_0$ is also placed on $M$ If $\mu < \mu_{min}$ (the minimum friction required to keep the block $m$ stationary), then the downward acceleration of $m$ is
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Two blocks $A$ and $B$ of equal masses are sliding down along straight parallel lines on an inclined plane of $45^o$ . Their coefficients of kinetic friction are $\mu _A = 0.2$ and $\mu _B = 0.3$ respectively. At $t = 0$ , both the blocks are at rest and block $A$ is $\sqrt 2$ metre behind block $B$ . The time and distance from the initial position where the front faces of the blocks come in line on the inclined plane as shown in figure. (Use $g = 10\, ms^{-2}$ )
A $60\, kg$ body is pushed with just enough force to start it moving across a floor and the same force continues to act afterwards. The coefficient of static friction and sliding friction are $0.5$ and $0.4$ respectively. The acceleration of the body is ........ $m/{s^2}$
$A$ block of mass $M$ is placed on $a$ horizontal surface and it is tied with an inextensible string to $a$ block of mass, as shown in figure. A block of mass $m_0$ is also placed on $M$ The minimum value of $\mu$ between the block $M$ and $m_0$ (taking horizontal surface frictionless) for which all the three blocks move together, is
A point mass $m$ is suspended from a light thread of length $l$, fixed at $O$, is whirled in a horizontal circle at constant speed as shown. From your point of view, stationary with respect to the mass, the forces on the mass are
A body is revolving with a constant speed along a circle. If its direction of motion is reversed but the speed remains the same, then which of the following statement is true
A car of mass $1000\, kg$ negotiates a banked curve of radius $90\, m$ on a frictionless road. If the banking angle is $45^o $, the speed of the car is ....... $ms^{-1}$
The masses of blocks A and B are $m$ and $M$ respectively. Between $A$ and $B$, there is a constant frictional force $F$ and $B$ can slide on a smooth horizontal surface. A is set in motion with velocity while $B$ is at rest. What is the distance moved by A relative to $B$ before they move with the same velocity?