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Neglecting friction and the mass of the ...

Neglecting friction and the mass of the pulleys, find the acceleration of the mass Q assuming that P=Q (Figure 5.20).

Text Solution

Verified by Experts

The correct Answer is:
`2g//5`
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Figure shows two blocks of mass m and m connected by a string passing over a pulley. The horizontal table over which the mass m slides is smooth. The pulley (uniform disc) has mass m and it can freely rotate about this axis. Find the acceleration of the mass m assuming that the string does not slip on the pulley.

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Knowledge Check

  • In the figure shown neglecting friction and mass of pulley, what is the acceleration of mass B ?

    A
    `(g)/(3)`
    B
    `(5g)/(2)`
    C
    `(2g)/(2)`
    D
    `(2g)/(5)`

  • The system shown in th fig is released from rest. (Neglecting friction and mass of the pulley, string and spring). The spring can be elongated:

    A
    if `M gt m`
    B
    if `M gt 2m`
    C
    if `M gt m/2`
    D
    for any value of M (M should be greater than zero)

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    Neglecting friction at the axle and the inertia of the two step pulley shown in figure find the acceleration 'a' of the falling weight P in (m//s^(2)) (assume P=2 kg Q=2 kg & r_(2)=2r_(1))

    In the arrangement shown in the figure, the blocks have masses 3m,m and 2m , the friction is absent, the masses of the pulleys and the threads are negligible. Find the acceleration of mass 3m .

    When we ignore friction and mass of pulley what would be the accelerations of the two blocks m_(1) and m_(2) .

    Consider4 the situation shown in figure. Bothe the pulleys and the string are light and all the surfaces are friction less. a. Find the acceleration of the mass M. b. Find the tension in the string c. Calculate the force exerted by the clamp on the pulley A in the figure.

    In the arrangement shown in figure the bodies have masses m_0 , m_1 , m_2 , the friction is absent, the masses of the pulleys and the threads are negligible. Find the acceleration of the body m_1 . Look into possible cases.

    Two weights with masses m_(1) and m_(2) are suspended from a thread slung over a pulley (Fig.). Find the acceleration of the system a_(1) the tension of the thread F and the force F_(p) acting on the pulley's axis. Neglect the mass of the thread and of the pulley and friction.

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