MABS Institution
11th Physics Weekly Test - 1 ( Motion of System of Particles and Rigid Bodies )-Aug 2020
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A solid sphere of mass 20 kg and radius 0.25 m rotates about an axis passing through the center. What is the angular momentum if the angular velocity is 5 rad s-1.
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What is rolling motion?
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State the factors on which the moment of Inertia of a body depends.
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A rope of negligible mass is wound round a hollow cylinder of mass 3 kg and radius 40 cm. what is angular acceleration of the cylinder if the rope is pulled with a force of 30N? What is the linear acceleration of the rope? Assume that there is no slipping.
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A disc rotating about its axis with angular speed Wo is placed lightly (without any linear push) on a perfectly frictionless table. The radius of the disc is R. What are the linear velocities of the points A, Band C on the disc shown in figure. Will the disc roll?
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An internal force cannot change the state of motion of centre of mass of a body. How does the internal force of the brakes bring a vehicle to rest?
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Find the torque of a force \(7\hat { i } +3\hat { j } -5\hat { k } \) about the origin. The force acts on a particle whose position vector is \(\hat { i } -\hat { j } +\hat { k } \) .
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Find the moment of inertia of a disc of mass 3 kg and radius 50 em about the following axes.
(i) axis passing through the center and perpendicular to the plane of the disc,
(ii) axis touching the edge and perpendicular to the plane of the disc and
(iii) axis passing through the center and lying on the plane of the disc. -
Three particles of masses m1= 1 kg, m2 = 2 kg and m3 = 3 kg are placed at the comers of an equilateral triangle of side 1m as shown in Figure. Find the position of center of mass.
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Calculate the work done by the torque.
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A massless right tangled triangle is suspended with its right angle corner. A mass of 100 kg is suspended from another corner B which subtends an angle \(53^{0}\).Find the mass m that should be suspended from other corner C so that BC (hypotenuse) remains horizontal.
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