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A uniform disc of mass M and radius R is supported vertically by a pivot at its periphery as shown. A particle of mass M is fixed to the rim and raised to the highest point above the centre. The system is then released from rest and it can rotate about its pivot freely. The angular speed of the system when the attached object is directly beneath the pivot is
The correct answer is:
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Two trolleys 1 and 2 are moving with accelerations a1 and a2 respectively in the same direction. A block of mass ‘’m’’ on trolley 1 is in equilibrium from the frame of observer stationary w.r.t. trolley 2. The magnitude of friction force on block due to trolley is (assume that no horizontal force other than friction force is acting on block)
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One ice skater of mass m moves with speed 2v to the right, while another of the same mass m moves with speed v toward the left, as shown in figure I. Their paths are separated by a distance b. At t = 0, when they are both at x = 0, they grasp a pole of length b and negligible mass. For t > 0, consider the system as a rigid body of two masses m separated by distance b, as shown in figure II. Which of the following is the correct formula for the motion after t = 0 of the skater initially at y = b/2?
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Two fixed charges – 2Q and Q are located at points with coordinates (–3a, 0) and (+3a, 0) respectively in the x – y plane. The points in the x – y plane where the electric potential due to the system is zero lie on a circle whose centre and radius are
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Now imagine that the entire set-up is immersed in water (n = 1.33). Which of the following best describes what happens to the pattern of fringes?
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An endless inextensible string passes over two small smooth pegs A and B, AB being horizontal, two particles of mass M and m (M > m) are attached to the string. The particle of mass m is released when it is in level with the pegs. As it comes down M rises up vertically. If and when they cross each other
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A ray of light parallel to the axis of a converging lens (having focal length f) strikes it at a small distance ‘h’ from its optical centre. A thin prism having angle q and refractive index m is placed normal to the axis of lens at a distance ‘d’ from it. What should be the value of m so that the ray emerges parallel to the lens axis.
A ray of light parallel to the axis of a converging lens (having focal length f) strikes it at a small distance ‘h’ from its optical centre. A thin prism having angle q and refractive index m is placed normal to the axis of lens at a distance ‘d’ from it. What should be the value of m so that the ray emerges parallel to the lens axis.
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An observer looks down on two glass plates, one placed on top of the other. The top plate pivots about a line of contact at its edge as shown in the figure. The angle created by the pivoting motion increases in time. Which is true?
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