Physics-
A mass ‘m’ is supported by a massless string wound around a uniform hollow cylinder of mass m and radius R. If the string does not slip on the cylinder, with what acceleration will the mass fall on release?
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Answer:The correct answer is:
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Two fixed frictionless inclined planes making an angle 
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Two fixed frictionless inclined planes making an angle and with the vertical are shown in the figure. Two blocks A and B are placed on the two planes. What is the relative vertical acceleration of A with respect to B ?
physics-General
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The upper half of an inclined plane with inclination null= 0.5]
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The tangent and the normal at a point P on an ellipse meet its major axis in T and T' so that TT' = a. Prove that the eccentricity angle of P is given by : (where e is eccentricity of the ellipse) is equal to -
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For the indicator diagram given below, select wrong statement
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A block of mass m is on an inclined plane of angle null. The block is held stationary by applying a force P parallel to the plane. The direction of force pointing up the plane is taken to be positive. As P is varied from
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A block of mass m is on an inclined plane of angle null. The block is held stationary by applying a force P parallel to the plane. The direction of force pointing up the plane is taken to be positive. As P is varied from
tothe frictional force f versus P graph will look like
physics-General
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In the figure, a ladder of mass m is shown leaning against a wall. It is in static equilibrium making an angle null and that between the floor and the ladder is 
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In the figure, a ladder of mass m is shown leaning against a wall. It is in static equilibrium making an angle null and that between the floor and the ladder is . The normal reaction of the wall on the ladder is and that of the floor is . If the ladder is about to slip, then
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A wire, which passes through the hole in a small bead, is bent in the form of quarter of a circle. The wire is fixed vertically on ground as shown in the figure. The bead is released from near the top of the wire and it slides along the wire without friction. As the bead moves from A to B, the force it applies on the wire is
A wire, which passes through the hole in a small bead, is bent in the form of quarter of a circle. The wire is fixed vertically on ground as shown in the figure. The bead is released from near the top of the wire and it slides along the wire without friction. As the bead moves from A to B, the force it applies on the wire is
physics-General
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A light spring is compressed and placed horizontally between a vertical fixed wall and a block free to slide over a smooth horizontal table top as shown in the figure. The system is released from rest. The graph which represents the relation between the magnitude of acceleration ‘ a ‘ of the block and the distance ‘ x ‘ travelled by it (as long as the spring is compressed) is:
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Then the acceleration after the block travels a distance x is
\ The graph of a vs x is
Then the acceleration after the block travels a distance x is\ The graph of a vs x is
A light spring is compressed and placed horizontally between a vertical fixed wall and a block free to slide over a smooth horizontal table top as shown in the figure. The system is released from rest. The graph which represents the relation between the magnitude of acceleration ‘ a ‘ of the block and the distance ‘ x ‘ travelled by it (as long as the spring is compressed) is:
physics-General
Let the initial compression of spring be Then the acceleration after the block travels a distance x is
\ The graph of a vs x is
Then the acceleration after the block travels a distance x is\ The graph of a vs x is
physics-
Two blocks A and B of masses m & 2m respectively are held at rest such that the spring is in natural length. Find out the accelerations of both the blocks just after release:
In this case spring force is zero initially F.B.D. of A and B
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physics-General
In this case spring force is zero initially F.B.D. of A and B
physics-
A bob is hanging over a pulley inside a car through a string. The second end of the string is in the hand of a person standing in the car. The car is moving with constant acceleration 'a' directed horizontally as shown in figure. Other end of the string is pulled with constant acceleration ' a ' vertically downward. The tension in the string is equal to :
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A bob is hanging over a pulley inside a car through a string. The second end of the string is in the hand of a person standing in the car. The car is moving with constant acceleration 'a' directed horizontally as shown in figure. Other end of the string is pulled with constant acceleration ' a ' vertically downward. The tension in the string is equal to :
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(Force diagram in the frame of the car) Applying Newton’s law perpendicular to string mg sinq = ma cos q
Applying Newton’s law along string
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Q is a point on the auxiliary circle corresponding to the point P of the ellipse 
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maths-General
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maths-General
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Two blocks of masses 
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maths-
maths-General