Part 1
Figure shows a uniform disc of radius R from which a hole of radius R/2 has been cut out from left of the centre and is placed on the right of the centre of the disc. Find the CM of the resulting disc.
29
Oct
Figure shows a uniform disc of radius R from which a hole of radius R/2 has been cut out from left of the centre and is placed on the right of the centre of the disc. Find the CM of the resulting disc. Two masses of 6 and 2 units are at position (6i - [...]
Two particles of equal masses have velocities v→1=4iˆ and v→2=4jˆ m/s. First particle has an acceleration a→1=(iˆ+ jˆ)ms^−2 while the acceleration of the other particle is zero. What will be the centre of mass of the two particles ?
29
Oct
Two particles of equal masses have velocities v→1=4iˆ and v→2=4jˆ m/s. First particle has an acceleration a→1=(iˆ+ jˆ)ms^−2 while the acceleration of the other particle is zero. What will be the centre of mass of the two particles ? Two masses of 6 and 2 units are at position (6i - 7j) and (2i + [...]
A particle of mass 2m is projected at an angle of 45^o with the horizontal with a velocity of 20 root2 m/s. After 1 s of explosion, the particle breaks into two equal pieces. As a result of this one part comes to rest. The maximum height from the ground attained by the other part is (g=10m/s^2)
29
Oct
A particle of mass 2m is projected at an angle of 45^o with the horizontal with a velocity of 20 root2 m/s. After 1 s of explosion, the particle breaks into two equal pieces. As a result of this one part comes to rest. The maximum height from the ground attained by the other part [...]
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A particle of mass 2m is projected at an angle of 45^o with the horizontal with a velocity of 20 root2 m/s. After 1 s of explosion ,
the particle breaks into two equal pieces. As a result of this one part comes to rest. The maximum height from the ground attained by the other part is (g=10m/s^2) ,
An isolated particle of mass m is moving in horizontal plane xy along the x-axis, at a certain height above the ground. It suddenly explodes into two fragment of masses m/4 and 3m/4. An instant later, the smaller fragment is at y=+15 cm. The larger fragment at this instant is at
29
Oct
An isolated particle of mass m is moving in horizontal plane xy along the x-axis, at a certain height above the ground. It suddenly explodes into two fragment of masses m/4 and 3m/4. An instant later, the smaller fragment is at y=+15 cm. The larger fragment at this instant is at An isolated particle of [...]
A man of mass M stands at one end of a plank of length L which lies at rest on a frictionless surface. The man walks to other end of the plank. If the mass of the plank is M/3, then the distance that the man moves relative to ground is :
29
Oct
A man of mass M stands at one end of a plank of length L which lies at rest on a frictionless surface. The man walks to other end of the plank. If the mass of the plank is M/3, then the distance that the man moves relative to ground is : A man of [...]
Two blocks of mass 6 kg and 4 kg are placed in contact on a frictionless surface and connected by a spring. if the heavier mass is given a velocity of 14m/s in the direction of lighter one, then the velocity gained by the centre of mass will be
29
Oct
Two blocks of mass 6 kg and 4 kg are placed in contact on a frictionless surface and connected by a spring. if the heavier mass is given a velocity of 14m/s in the direction of lighter one, then the velocity gained by the centre of mass will be then the velocity gained by the [...]
A child stands at one end of a boat moving with a speed v in still water. If the child starts running towards the other end of the boat with a speed u, the centre of mass of the system (boat and child) will move with a speed
29
Oct
A child stands at one end of a boat moving with a speed v in still water. If the child starts running towards the other end of the boat with a speed u, the centre of mass of the system (boat and child) will move with a speed A child stands at one end of [...]
A system consists of three particles, each of mass m and located at (1,1)(2,2) and (3,3). The coordinates of the centre of the mass are:
29
Oct
A system consists of three particles, each of mass m and located at (1,1)(2,2) and (3,3). The coordinates of the centre of the mass are: -12 2) and (3 3). The coordinates of the centre of the mass are: A system consists of three particles each of mass m and located at (1 October 29, [...]
Two particles of masses 1kg and 2kg are located at x1=0, y1=0 and x2 = 1, y2 = 0 respectively. The centre of mass of the system is at
29
Oct
Two particles of masses 1kg and 2kg are located at x1=0, y1=0 and x2 = 1, y2 = 0 respectively. The centre of mass of the system is at Two particles of masses 1kg and 2kg are located at x1=0 y1=0 and x2 = 1 y2 = 0 respectively. The centre of mass of the [...]
In a two-particle system with particle masses m1 and m2, the first particle is pushed towards the centre of mass through a distance d, the distance through which second particle must be moved to keep the centre of mass at the same position is.
29
Oct
In a two-particle system with particle masses m1 and m2, the first particle is pushed towards the centre of mass through a distance d, the distance through which second particle must be moved to keep the centre of mass at the same position is. In a two-particle system with particle masses m1 and m2 the [...]