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System is shown in the figure and man is pulling the rope from both sides with constant speed ‘u’. Then the velocity of the block will be
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The correct answer is:
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A rigid horizontal smooth rod AB of mass 0.75 kg and length 40 cm can rotate freely about a fixed vertical axis through its mid point O. Two rings each of mass 1 kg are initially at rest at a distance of 10 cm from O on either side of the rod. The rod is set in rotation with an angular velocity of 30 radians per second. The velocity of each ring along the length of the rod in m/s then they reach the ends of the rod is
A rigid horizontal smooth rod AB of mass 0.75 kg and length 40 cm can rotate freely about a fixed vertical axis through its mid point O. Two rings each of mass 1 kg are initially at rest at a distance of 10 cm from O on either side of the rod. The rod is set in rotation with an angular velocity of 30 radians per second. The velocity of each ring along the length of the rod in m/s then they reach the ends of the rod is
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A conical pendulum consists of a mass M suspended from a string of length l. The mass executes a circle of radius R in a horizontal plane with speed v. At time t, the mass is at position i 
and has velocity 
v . At time t, the angular momentum vector of the mass M about the point from which the string suspended is :
A conical pendulum consists of a mass M suspended from a string of length l. The mass executes a circle of radius R in a horizontal plane with speed v. At time t, the mass is at position i and has velocity v . At time t, the angular momentum vector of the mass M about the point from which the string suspended is :
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A cylinder having radius 0.4 m, initially rotating (at t = 0) with = 54 rad/sec is placed 
= 0.5. The time taken 
having friction coefficient on a rough inclined plane with by the cylinder to start pure rolling is :
. 
A cylinder having radius 0.4 m, initially rotating (at t = 0) with = 54 rad/sec is placed = 0.5. The time taken having friction coefficient on a rough inclined plane with by the cylinder to start pure rolling is :
.
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physics-
A wheel is made to roll without slipping, towards right, by pulling a string wrapped round a coaxial spool as shown in figure. With what velocity the string should be pulled so that the centre of the wheel moves with a velocity of 3 m/s?
A wheel is made to roll without slipping, towards right, by pulling a string wrapped round a coaxial spool as shown in figure. With what velocity the string should be pulled so that the centre of the wheel moves with a velocity of 3 m/s?
physics-General
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An elastic string of natural length 3l o is cut into two parts so that their natural lengths are 2l o and l o respectively. They are attached to points P and Q the vertical distance between P and Q being l o and the horizontal distance being 12cm. A uniform rod CD=40cm is in equilibrium supported by the string at A and B. If the rod CD is horizontal then the lengths of the parts CA and BD in cms are
An elastic string of natural length 3l o is cut into two parts so that their natural lengths are 2l o and l o respectively. They are attached to points P and Q the vertical distance between P and Q being l o and the horizontal distance being 12cm. A uniform rod CD=40cm is in equilibrium supported by the string at A and B. If the rod CD is horizontal then the lengths of the parts CA and BD in cms are
physics-General
physics-
AB and CD are two identical rods each of length L and mass M joined to form a cross. Find the M.I. of the system about a bisector of the angle between the rods (XY)
AB and CD are two identical rods each of length L and mass M joined to form a cross. Find the M.I. of the system about a bisector of the angle between the rods (XY)
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physics-
A uniform rod of mass m is bent into the form of a semicircle of radius R. The moment of inertia of the rod about an axis passing through A and perpendicular to the plane of the paper is
A uniform rod of mass m is bent into the form of a semicircle of radius R. The moment of inertia of the rod about an axis passing through A and perpendicular to the plane of the paper is
physics-General
physics-
An inverted “V” is made up of two uniform boards each weighing 200 N. Each side has the same length and makes an angle 30° with the vertical as shown in figure. The magnitude of the static frictional force that acts on each of the lower end of the V is
An inverted “V” is made up of two uniform boards each weighing 200 N. Each side has the same length and makes an angle 30° with the vertical as shown in figure. The magnitude of the static frictional force that acts on each of the lower end of the V is
physics-General
physics-
A uniform ladder of length 5m is placed against the wall as shown in the figure. If is the same for both the walls, what is the minimum value of mc officient of friction for it not to slip
A uniform ladder of length 5m is placed against the wall as shown in the figure. If is the same for both the walls, what is the minimum value of mc officient of friction for it not to slip
physics-General
physics-
A thin rod of length L and mass M is bend at the middle point O as shown in figure. Consider an axis passing through two middle point O and perpendicular to the plane of the bent rod. Then moment of inertia about this axis is :
A thin rod of length L and mass M is bend at the middle point O as shown in figure. Consider an axis passing through two middle point O and perpendicular to the plane of the bent rod. Then moment of inertia about this axis is :
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physics-
Two persons of equal height are carrying a long uniform wooden beam of length l. They are at distance l/4 and l/6 from nearest end of the rod. The ratio of normal reaction at their heads is
Two persons of equal height are carrying a long uniform wooden beam of length l. They are at distance l/4 and l/6 from nearest end of the rod. The ratio of normal reaction at their heads is
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physics-
The figure shows a uniform rod lying along the x-axis. The locus of all the points lying on the xy-plane, about which the moment of inertia of the rod is same as that about O is
The figure shows a uniform rod lying along the x-axis. The locus of all the points lying on the xy-plane, about which the moment of inertia of the rod is same as that about O is
physics-General
physics-
Two smooth balls A and B, each of mass m and radius R, have their centre at (0,0,R) and at (5R,–R,R) respectively, in a coordinate system as shown. Ball A, moving along positive x axis, collide with ball B. Just before the collision, speed of ball A is 4 m/s and ball B is stationary. The collision between the balls is elastic.
Velocity of the ball A just after the collision is 3j) m/s
Two smooth balls A and B, each of mass m and radius R, have their centre at (0,0,R) and at (5R,–R,R) respectively, in a coordinate system as shown. Ball A, moving along positive x axis, collide with ball B. Just before the collision, speed of ball A is 4 m/s and ball B is stationary. The collision between the balls is elastic.
Velocity of the ball A just after the collision is 3j) m/s
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A carpet of mass 'M' made of inextensible material is rolled along its length in the form of a cylinder of radius 'R' and is kept on a rough floor. The carpet starts unrolling without sliding on the floor when a negligibly small push is given to it. The horizontal velocity of the axis of the cylindrical part of the carpet when its radius reduce to R/2 will be:
A carpet of mass 'M' made of inextensible material is rolled along its length in the form of a cylinder of radius 'R' and is kept on a rough floor. The carpet starts unrolling without sliding on the floor when a negligibly small push is given to it. The horizontal velocity of the axis of the cylindrical part of the carpet when its radius reduce to R/2 will be:
physics-General
physics-
A composite bar of length 
is made up from a rod of material 1 and of length L1 attached to a rod of material 2 and of length L2 as shown. If 
and 
are their respective coefficients of linear expansion, then equivalent coefficient of linear expansion for the composite rod is:
A composite bar of length is made up from a rod of material 1 and of length L1 attached to a rod of material 2 and of length L2 as shown. If and are their respective coefficients of linear expansion, then equivalent coefficient of linear expansion for the composite rod is:
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