The limiting friction between two bodies in contact is independent of
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  • 1
    Calculate the maximum acceleration (in $m s ^{-2}$) of a moving car so that a body lying on the floor of the car remains stationary. The coefficient of static friction between the body and the floor is $0.15$ $\left( g =10 m s ^{-2}\right)$.
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  • 2
    $A$ long plank $P$ of the mass $5\, kg$ is placed on a smooth floor. On $P$ is placed a block $Q$ of mass $2\, kg$. The coefficient of friction between $P$ and $Q$ is $0.5$. If a horizontal force $15N$ is applied to $Q$, as shown, and you may take $g$ as $10N/kg.$
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  • 3
    A block A with mass $100\, kg $ is resting on another block $B$ of mass $200\, kg$. As shown in figure a horizontal rope tied to a wall holds it. The coefficient of friction between $A$ and $B$ is $ 0.2 $ while coefficient of friction between $B$ and the ground is $0.3$. The minimum required force $F$ to start moving $B$ will be ........ $N$
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  • 4
    A block of mass $m$ is moving with a constant acceleration a on a rough plane. If the coefficient of friction between the block and ground is $\mu $, the power delivered by the external agent after a time $t$ from the beginning is equal to
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  • 5
    $A$ 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 $M$ In previous problem, the tension in the string will be
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  • 6
    $A$ 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
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  • 7
    A roller coaster is designed such that riders experience "weightlessness" as they go round the top of a hill whose radius of curvature is $20\, m.$ The speed of the car at the top of the hill is between
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  • 8
    A body is sliding down an inclined plane having coefficient of friction $0.5$. If the normal reaction is twice that of the resultant downward force along the incline, the angle between the inclined plane and the horizontal is ....... $^o$
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  • 9
    When a body is lying on a rough inclined plane and does not move, the force of friction
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  • 10
    In the diagram, $BAC$ is a rigid fixed rough wire and angle $BAC$ is $60^o$. $P$ and $Q$ are two identical rings of mass $m$ connected by a light elastic string of natural length $2a$ and elastic constant $\frac{mg}{a}$. If $P$ and $Q$ are in equilibrium when $PA = AQ = 3a$ then the least coefficient of friction between the ring and the wire is $\mu$. Then value of $\mu + \sqrt 3 $ is :-
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