Chapter 9 – COM
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A man of 50 kg mass is standing in a gravity free space at a height of 10 m above the floor. He throws a stone of 0.5 kg mass downwards with a speed 2 m/s. When the stone reaches the floor,the distance of the man above the floor will be
28
Aug
A man of 50 kg mass is standing in a gravity free space at a height of 10 m above the floor. He throws a stone of 0.5 kg mass downwards with a speed 2 m/s. When the stone reaches the floor,the distance of the man above the floor will be A man of 50 [...]
Two particles which are initially at rest, move towards each other under the action of their internal attraction. If their speeds are v and 2v at any instant, then the speed of centre of mass of the system will be
28
Aug
Two particles which are initially at rest, move towards each other under the action of their internal attraction. If their speeds are v and 2v at any instant, then the speed of centre of mass of the system will be move towards each other under the action of their internal attraction. If their speeds are [...]
Two persons of masses 55 kg and 65 kg respectively, are at the opposite ends of the boat. The length of the boat is 3.0 m and weigh 100 kg. The 55 kg man walks to the 65 kg man and sits with him. If the boat is in stil water the centre of mass of the system shifts by
28
Aug
Two persons of masses 55 kg and 65 kg respectively, are at the opposite ends of the boat. The length of the boat is 3.0 m and weigh 100 kg. The 55 kg man walks to the 65 kg man and sits with him. If the boat is in stil water the centre of mass [...]
Two bodies of masres 1 kg and 3 kg have position vectors i^ + 2j^ + k^ and − 3i − 2j^ + k^ respectively. The centre of mass of this system has a position vector
28
Aug
Two bodies of masres 1 kg and 3 kg have position vectors i^ + 2j^ + k^ and − 3i − 2j^ + k^ respectively. The centre of mass of this system has a position vector Two bodies of masres 1kg and 3kg have position vectors i^+2j^ + k^ and − 3i − 2j^ + [...]
A cart of mass M is tied to one end of a massless rope of length 10m. The other end of the rope is in the hands of a man of mass M. The entire system is on a smooth horizontal surface. The man is at x=0 and the cart at x=10m. If the man pulls the cart by the rope, the man and the cart will meet at the point
24
Aug
A cart of mass M is tied to one end of a massless rope of length 10m. The other end of the rope is in the hands of a man of mass M. The entire system is on a smooth horizontal surface. The man is at x=0 and the cart at x=10m. If the man [...]
A solid sphere of radius R is placed on smooth horizontal surface. A horizontal force F is applied at height h from the lowest point. For the maximum acceleration of centre of mass
24
Aug
A solid sphere of radius R is placed on smooth horizontal surface. A horizontal force F is applied at height h from the lowest point. For the maximum acceleration of centre of mass A solid sphere of radius R is placed on smooth horizontal surface. A horizontal force F is applied at height h from [...]
In a carbon monoxide molecule, the carbon and the oxygen atoms are separated by a distance 1.2×10^−10m. The distance of the centre of mass from the carbon atom is
24
Aug
In a carbon monoxide molecule, the carbon and the oxygen atoms are separated by a distance 1.2×10^−10m. The distance of the centre of mass from the carbon atom is In a carbon monoxide molecule the carbon and the oxygen atoms are separated by a distance 1.2×10^−10m. The distance of the centre of mass from the [...]
A rod of length is 3m and its mass acting per unit length is directly proportional to distance x from one of its end then its centre of gravity from that end will be at
24
Aug
A rod of length is 3m and its mass acting per unit length is directly proportional to distance x from one of its end then its centre of gravity from that end will be at A rod of length is 3m and its mass acting per unit length is directly proportional to distance x from [...]
Consider a two particle system with particles having masses m1 and m2. If the first particle is pushed towards the centre of mass through a distance d, by what distance should be second particle be moved, so as to keep the centre of mass at the same position?
24
Aug
Consider a two particle system with particles having masses m1 and m2. If the first particle is pushed towards the centre of mass through a distance d, by what distance should be second particle be moved, so as to keep the centre of mass at the same position? by what distance should be second particle [...]