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Systems of Particles and Rotational Motion Test - 61

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Systems of Particles and Rotational Motion Test - 61
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  • Question 1
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    A uniform rod of length 2L is placed with one end in contact with the horizontal and is then inclined at an angle α to the horizontal and allowed to fall without slipping at contact point. When it becomes horizontal, its angular velocity will be
    Solution

  • Question 2
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    A smooth sphere A is moving on a frictionless horizontal plane with angular speed ω and centre of mass velocity v. It collides elastically and head on with an identical sphere B at rest. Neglect friction everywhere. After the collision their angular speeds are ωA and ωB respectively. Then
    Solution

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    As a part of a maintenance inspection the compressor of a jet engine is made to spin according to the graph as shown. The number of revolutions made by the compressor during the test is

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  • Question 4
    4 / -1
    A circular platform is free to rotate in a horizontal plane about a vertical axis passing through its centre. A tortoise is sitting at the edge of the platform. Now, the platform is given an angular velocity ω0. When the tortoise moves along a chord of the platform with a constant velocity (with respect to the platform), the angular velocity of the platform ω(t) will vary with time t as
    Solution

  • Question 5
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  • Question 6
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    Two identical discs of same radius R are rotating about their axes in opposite directions with the same constant angular speed ω. The discs are in the same horizontal plane. At time t = 0, the points P and Q are facing each other as shown in the figure. The relative speed between the two points P and Q is vr. In one time period (T) of rotation of the discs, vr as a function of time is best represented by

    Solution

  • Question 7
    4 / -1
    The graph between the angular momentum L and angular velocity ω will be
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  • Question 8
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    The curve between loge L and loge P is (L is the angular momentum and P is the linear momentum)
    Solution

  • Question 9
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    Solution

  • Question 10
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