each of mass m
Four point masses, each of mass m, are fixed at the corners of a square of side l. The square is rotating with angular frequency ω , about an axis passing through one of the corners of the square and parallel to its diagonal, as shown in the figure. The angular momentum of the square about this axis is
19
Sep
Four point masses, each of mass m, are fixed at the corners of a square of side l. The square is rotating with angular frequency ω , about an axis passing through one of the corners of the square and parallel to its diagonal, as shown in the figure. The angular momentum of the square [...]
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about an axis passing through one of the corners of the square and parallel to its diagonal ,
are fixed at the corners of a square of side l. The square is rotating with angular frequency ω ,
as shown in the figure. The angular momentum of the square about this axis is ,
each of mass m ,
Four point masses ,
N molecules, each of mass m, of gas A and 2 N molecules, each of mass 2 m, of gas B are contained in the same vessel which is maintained at a temperature T. The mean square of the velocity of molecules of B type is denoted by ν^2 and the mean square of the X component of the velocity of A type is denoted by ω^2. The ratio of ω^2/ν^2 is
13
Sep
N molecules, each of mass m, of gas A and 2 N molecules, each of mass 2 m, of gas B are contained in the same vessel which is maintained at a temperature T. The mean square of the velocity of molecules of B type is denoted by ν^2 and the mean square of the [...]
A thin circular ring of mass M and radius r is rotating about its axis with a constant angular velocity ω. Two objects, each of mass m, are attached gently to the opposite ends of the diameter of the ring. The ring now rotates with an angular velocity ω =
06
Dec
A thin circular ring of mass M and radius r is rotating about its axis with a constant angular velocity ω. Two objects, each of mass m, are attached gently to the opposite ends of the diameter of the ring. The ring now rotates with an angular velocity ω = A thin circular ring of [...]
A system consisting of two masses connected by a mass less rod lie along the x−axis. A 0.4 kg mass is at a distance x=2m while a 0.6 kg mass is at a distance x=7 m. The x−coordinate of the centre of mass is
29
Oct
A system consisting of two masses connected by a mass less rod lie along the x−axis. A 0.4 kg mass is at a distance x=2m while a 0.6 kg mass is at a distance x=7 m. The x−coordinate of the centre of mass is are placed at the corner of right angle triangle as shown [...]
Four particles of masses m, 2m, 3m and 4m are arranged at the corners of a parallelogram with each side equal to a and one of the angle between two adjacent sides as 60 degree. The parallelogram lies in the x-y plane with mass m at the origin and 4m on the x-axis. The centre of mass of the arrangement will be located at
29
Oct
Four particles of masses m, 2m, 3m and 4m are arranged at the corners of a parallelogram with each side equal to a and one of the angle between two adjacent sides as 60 degree. The parallelogram lies in the x-y plane with mass m at the origin and 4m on the x-axis. The centre [...]
Three particles of masses 1kg 2kg and 3kg are situated at the corners of an equilateral triangle of side b in the x-y plane with mass 1 kg at the origin and 2 kg on the x axis. The coordinates of the centre of mass are
29
Oct
Three particles of masses 1kg 2kg and 3kg are situated at the corners of an equilateral triangle of side b in the x-y plane with mass 1 kg at the origin and 2 kg on the x axis. The coordinates of the centre of mass are are placed at the corner of right angle triangle [...]
Three particles, each of mass m, are placed at the corner of right angle triangle as shown in the figure. if OA = a and OB = b, the position vector of the centre of mass is : (here i ^ and j ^ are unit vector along x and y axes, respectively )
29
Oct
Three particles, each of mass m, are placed at the corner of right angle triangle as shown in the figure. if OA = a and OB = b, the position vector of the centre of mass is : (here i ^ and j ^ are unit vector along x and y axes, respectively ) are [...]
Two objects A and B, each of mass m, are connected by a light inextensible string. They are restricted to move on a frictionless ring of radius R in a vertical plane. The objects are released from rest at the position shown in figure. Then, the tension in the cord just after release is:
19
Oct
Two objects A and B, each of mass m, are connected by a light inextensible string. They are restricted to move on a frictionless ring of radius R in a vertical plane. The objects are released from rest at the position shown in figure. Then, the tension in the cord just after release is: each [...]
Two bodies, each of mass M, are kept fixed with a separation 2L. A particle of mass m is projected from the midpoint of the line joining their cehntres, perpendicualr to the line. The gravitational constant is G. The correct statement (s) is (are)
06
Oct
Two bodies, each of mass M, are kept fixed with a separation 2L. A particle of mass m is projected from the midpoint of the line joining their cehntres, perpendicualr to the line. The gravitational constant is G. The correct statement (s) is (are) are kept fixed with a separation 2L. A particle of mass [...]
Two blocks A and B, each of mass m, are connected by a massless spring of natural length L and spring constant k. The blocks are initially resting on a smooth horizontal floor with the spring
05
Oct
Two blocks A and B, each of mass m, are connected by a massless spring of natural length L and spring constant k. The blocks are initially resting on a smooth horizontal floor with the spring are connected by a massless spring of natural length L and spring constant k. The blocks are initially resting [...]