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A steel ball is suspended from the ceili...

A steel ball is suspended from the ceiling of an accelerating carriage by means of cords A and B. Determine the acceleration a of the carriage which cause the tension in A to be twice that in B.

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A steel ball is suspended from the ceiling of an acceleration carriage by means of two cords A and B. Determine the acceleration a of the carriage which will cause the tension in A to be twice that in B.

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Knowledge Check

  • A ball is suspended from the accelerating car by two cords 'A' and 'B' . The acceleration 'a' of the car which will cause the tension in 'A' to be twice the tension in B, is

    A
    `g//2`
    B
    g
    C
    `g//4`
    D
    `g//3`

  • A pendulum is hanging from the ceiling of a railway carriage making an angle of 30^(@) with the vertical direction . The acceleration of the carriage is :

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

  • A small sphere is suspended by a string from the ceiling of a car. If the car beings to move with a constant acceleration a, the inclination of the string to the vertical is:

    A
    `tan^(-1)(a//g)` in the direction of motion
    B
    `tan^(-1)(a//g)` opposite to the direction of motion
    C
    `tan^(-1)(g//a)` in the direction of motion
    D
    `tan^(-1)(g//a)` opposite to the direction of motion

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    A small metallic sphere of mass m is suspended from the ceiling of a car accelerating on a horizontal road with constant acceleration a. The tension in the string attached with metallic sphere is

    A pendulum is hanging from the ceiling of a car having an acceleration a_(0) with to the road. Find the angle made by the string with the verical and tension in the string.

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    A small ball is suspended by a string from the ceiling of a car. As the car accelerates at a rate ‘a’ the string makes an angle 'a' with the vertical in equilibrium. Then the tension in the string is :

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