JEE Main & Advanced Physics NLM, Friction, Circular Motion Question Bank Mock Test - Newtons Laws of Motion With Friction

  • question_answer
    Two blocks of masses \[{{M}_{1}}\] and \[{{M}_{2}}\] are connected with a string passing over a pulley as shown in the figure. The block \[{{M}_{1}}\] lies on a horizontal surface. The coefficient of friction between the block \[{{M}_{1}}\] and the horizontal surface is \[\mu \]. The system accelerates. What additional mass m should be placed on the block \[{{M}_{1}}\] so that the system does not accelerate?

    A) \[\frac{{{M}_{2}}-{{M}_{1}}}{\mu }\]

    B) \[\frac{{{M}_{2}}}{\mu }-{{M}_{1}}\]

    C) \[{{M}_{2}}\,\frac{{{M}_{1}}}{\mu }\]           

    D) \[\,\,({{M}_{2}}\,-{{M}_{1}})\mu \]

    Correct Answer: B

    Solution :

    [b] For the equilibrium of block of mass \[{{M}_{1}}:\] Frictional force, f=tension in the string, T Where \[T=f=\mu (m+{{M}_{1}})g\] For the equilibrium of block of mass \[{{M}_{2}}:\] \[T={{M}_{2}}g\] From Eqs. (i) and (ii), we get\[\mu (m+{{M}_{1}})g={{M}_{2}}g\] \[m=\frac{{{M}_{2}}}{\mu }-{{M}_{1}}\]


You need to login to perform this action.
You will be redirected in 3 sec spinner