Recent questions in System of Particles and Rotational Motion

Angular momentum of the particle rotating with a central force is constant due to

asked Nov 28, 2013 by meena.p

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A conical pendulum consists of a simple pendulum moving in a horizontal circle as shown. $C$ is the pivot. $0$ is the centre of the circle in which the pendulum bob moves and w the constant angular velocity of the bob. If $\overrightarrow {L} $ is the angular momentum about the axis $C_0$, then

asked Nov 28, 2013 by meena.p

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A conical pendulum consists of a simple pendulum moving in a horizontal circle as shown. C is the pivot. O is the centre of the circle in which the pendulum bob moves and w the constant angular velocity of the bob. If $\overrightarrow {L} $ is the angular momentum about C, then

asked Nov 28, 2013 by meena.p

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If the resultant of all external forces acting on a system of particles is zero, then from an inertial frame, one can surely say that

asked Nov 28, 2013 by meena.p

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A kid of mass M stands at the edge of a platform of radius r which can freely rotate about its axis. The moment of inertia of platform is I. The system is at rest when a friend throws a ball of mass m and the kid catches it. If the velocity of the ball is v horizontally along the tangent to the edge of the platform when it was caught by the kid, find the angular speed of the platform after the event.

asked Nov 28, 2013 by meena.p

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In the given figure , a ball strikes a rod elastically and the rod is hinged at point A. Then which of the statements is / are correct ?

asked Nov 28, 2013 by meena.p

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In the absence of external force acting n a rigid system, which of the following must remain constant 1) angular momentum 2) linear momentum 3) moment of inertia 4) kinetic energy Which one is the correct answer ?

asked Nov 28, 2013 by meena.p

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A boy sitting over a rotating stool has his arms folded. If he stretches his arms, his angular momentum about the axis of rotation

asked Nov 28, 2013 by meena.p

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A uniform thin circular ring of mass M and radius R is rotating about its fixed axis passing through its centre, perpendicular to its plane of rotation with constant angular velocity w. Two objects each of mass m are gently attached to the opposite ends of the diameter of the ring. The ring now rotates with an angular velocity

asked Nov 28, 2013 by meena.p

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A particle performs uniform circular motion with angular momentum L. If the frequency of particles motion is doubled and its kinetic energy is halved, the angular momentum becomes

asked Nov 28, 2013 by meena.p

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A conical pendulum consists of a simple pendulum moving in a horizontal circle as shown. C is the pivot . O is the circle in which the pendulum moves.and $w_1$ the angular velocity of the bob. If L is the angular momentum about C, then

asked Nov 28, 2013 by meena.p

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The angular momentum of a particle about $o$ is varying as $L = 4t+8$ (SI units) . When it moves along straight line $y= x-4$(x,y in maters) . The magnitude of force acting on the particle would be

asked Nov 28, 2013 by meena.p

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A disc of mass M and radius R is rolling with angular speed w on a horizontal plane as shown. The magnitude of the angular momentum of the disc about the origin O is :

asked Nov 28, 2013 by meena.p

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Angular momentum of a particle rotating with a centre force is constant due to

asked Nov 28, 2013 by meena.p

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A particle is projected at time $t=0$ from a point P on the ground with a speed $V_0$ at an angle of $45^{\circ}$ to the horizontal . What is the magnitude of the angular momentum of the particle about point P at time $t= \large\frac{V_0}{g}$

asked Nov 28, 2013 by meena.p

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A particle is projected at time $t=0$ from a point P on the ground with speed u at an angle $\theta$ with the horizontal. The angular momentum of the particle about the origin when it is at the maximum height

asked Nov 28, 2013 by meena.p

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A particle of mass 2 kg is moving along a straight line $3x+4y=5$ with speed $8 m/s$. What is the angular momentum of the particle about the orgin.

asked Nov 28, 2013 by meena.p

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A particle of mass 2 kg is moving with velocity $2 \hat i + 3\hat j $. Its angular momentum about the origin when the particle is at $(1,1,0)$

asked Nov 28, 2013 by meena.p

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A particle of mass m starts from origin with constant velocity $u \hat i$. What will be the angular momentum of the speed increases in the above case?

asked Nov 28, 2013 by meena.p

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A particle of mass m starts from origin with constant velocity $u \hat i$. What will be the angular momentum at a later instant.

asked Nov 28, 2013 by meena.p

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A particle of mass m starts from origin with constant velocity $u \hat i$. Its angular momentum about the origin is

asked Nov 28, 2013 by meena.p

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Two persons of equal height are carrying a long wooden beam of length l. They are at a distance $\frac{l}{4}$ and $\frac{l}{6}$ from the nearest end of the rod. The ratio of the normal reactions at their heads i s

asked Nov 27, 2013 by meena.p

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A uniform rod of mass m and length L is suspended with two massless strings as shown. If the rod is at rest in a horizontal position, the ratio of the tensions in the two strings?

asked Nov 27, 2013 by meena.p

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A uniform rod of length 5 m is placed against the wall as shown. If coefficient of friction $\mu$ is the same for both the walls, the minimum value for $\mu$ not to slip.

asked Nov 27, 2013 by meena.p

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Four equal and parallel forces are acting on a rod at distances of 20 cm, 40 cm, and80cm respectively , from one end of rod. Under the influence of these forces, the rod is

asked Nov 27, 2013 by meena.p

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A light rod of length 1 m is pivoted at its centre and two masses 5 kg and 2 kg are hung from the ends as shown. In the above question if the rod has a mass 1 kg, then its initial angular acceleration

asked Nov 27, 2013 by meena.p

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A light rod of length 1 m is pivoted at its centre and two masses 5 kg and 2 kg are hung from the ends as shown. The critical angular acceleration of the rod if it is assumed to be massless is?

asked Nov 27, 2013 by meena.p

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A uniform rod of length l is free to rotate in a vertical plane about a fixed horizontal axis through 0. The rod is allowed to rotate from its unstable vertical position. Then the angular velocity of the rod when it has turned through an angle $\theta$ is

asked Nov 27, 2013 by meena.p

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Acceleration of block $m_1$ is (given moment of inertia of pulley is I and string does not slip over the pulley )

asked Nov 27, 2013 by meena.p

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A uniform rod of mass 20 kg and length 1.6 m is pivoted at its end and swings in the vertical plane. Angular acceleration of the rod just after the rod is released from rest in the horizontal position

asked Nov 27, 2013 by meena.p

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One end of a long uniform rod of mass m and length l is clamped. The rod lies on a smooth horizontal surface and rotates on it about the clamped end with a uniform angular velocity w. The force exerted by the clamp on the rod has a horizontal component.

asked Nov 27, 2013 by meena.p

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A uniform solid cylinder of mass M and radius R rotates about a frictionless axle. Two masses are suspended from a rope wrapped around the cylinder. If the system is released from rest, the tension in each rope is

asked Nov 27, 2013 by meena.p

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A cylinder of mass M and radius R is fixed on a frictionless axle over a well. A rope of negotiable mass is wrapped around the cylinder . A bucket of mass m is suspended from it. The linear acceleration of the bucket will be

asked Nov 27, 2013 by meena.p

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A body is rotating uniformly about a vertical axis fixed in an initial frame. The resultant force on a particle not on the the axis is

asked Nov 27, 2013 by meena.p

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AB and CD are two identical rods each of length l and mass m joined to form a cross. The moment of inertia of three two rods about a bisector XY of angles between the rods is

asked Nov 27, 2013 by meena.p

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Two particles of masses $m_1$ and $m_2$ are connected to a rigid massless rod of length r to constitute a dumb bell which is free to move in the plane. The moment of inertia of the dumb bell about an axis perpendicular to the plane passing through the centre of mass

asked Nov 26, 2013 by meena.p

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Four spheres of diameter 2a and mass M are placed with their centres on the four corners of a square of side b. Then the moment of inertia of the system about an axis along one of the sides of the square is

asked Nov 26, 2013 by meena.p

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A thin wire of length l and mass m is bent in the form of a semicircle as shown. Its moment of inertia about an axis joining its free ends will be

asked Nov 26, 2013 by meena.p

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A solid sphere of mass M, radius R and having moment of inertia about an axis passing through the centre of mass as I, is recast into a disc of thickness t, whose moment of inertia about axis passing through its edge and perpendicular to the plane remains I. Then, radius of the disc will be

asked Nov 26, 2013 by meena.p

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In a rectangular lamina shown in figure $AB= \large\frac{BC}{2}$. The moment of inertia of the lamina is minimum along the axis passing through

asked Nov 26, 2013 by meena.p

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A thin rod of length l and mass m is turned at mid- point 0 at an angle of $60^{\circ}$ . The moment of inertia of the rod about an axis passing through 0 and perpendicular to the plane of the rod will be

asked Nov 26, 2013 by meena.p

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Moment of inertia of a uniform rod of length L and mass M, about an axis passing through $L/4$ from one end and perpendicular to its length is

asked Nov 26, 2013 by meena.p

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From a disc of mass M and radius R, a smaller disc of radius $\large\frac{R}{2}$ is cut out as shown. The moment of inertia of the remaining portion about an axis through the centre 0 and perpendicular to the plane of the disc is

asked Nov 26, 2013 by meena.p

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Moment of inertia of a semicircular ring about an axis perpendicular to its plane and passing through its centre of mass. (mass M,Radius R)

asked Nov 26, 2013 by meena.p

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Moment of inertia of a square lamina about one of the diagonals is :

asked Nov 26, 2013 by meena.p

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A uniform triangular plate of mass m whose vertices are ABC and has length $l, \frac{l}{2}$ and $\large\frac{l}{\sqrt 2}$. Find the moment of inertia of this plate about an axis passing through the point B and perpendicular to the plane of the plate

asked Nov 26, 2013 by meena.p

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Moment of inertia of a portion of a disc about an axis perpendicular to its plane; Mass of the object is M and radius R is

asked Nov 26, 2013 by meena.p

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Moment of inertia of three uniform rods of mass M and length l joined to form an equilateral triangle, about an axis passing through one of its sides.

asked Nov 26, 2013 by meena.p

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Moment of inertia of a thin rod of mass M and length l about an axis as shown .

asked Nov 26, 2013 by meena.p

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Moment of inertia of a rectangular plate about an axis passing through its centre and perpendicular to its plane

asked Nov 25, 2013 by meena.p

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