Chapter 9 – Rotation
Two masses m1 = 1kg and m2 = 2kg are connected by a light inextensible string and suspended by means of a weightless pulley as shown in the figure. Assuming that both the masses start from rest, the distance travelled by the centre of mass in two seconds is (Takeg=10ms^−2.
29
Oct
Two masses m1 = 1kg and m2 = 2kg are connected by a light inextensible string and suspended by means of a weightless pulley as shown in the figure. Assuming that both the masses start from rest, the distance travelled by the centre of mass in two seconds is (Takeg=10ms^−2. the distance travelled by the [...]
A cheetah, weighing 150 kg, chases a deer, weighing 30 kg, in a straight path. The speed of the cheetah is 20 m/s and that of the deer is 25 m/s. The approximate speed of the centre of mass of the pair is
29
Oct
A cheetah, weighing 150 kg, chases a deer, weighing 30 kg, in a straight path. The speed of the cheetah is 20 m/s and that of the deer is 25 m/s. The approximate speed of the centre of mass of the pair is A cheetah chases a deer in a straight path. The speed of [...]
Center of mass of 3 particle 10 kg, 20 kg and 30 kg is at (0,0,0,). Where should a particle of mass 40 kg be placed so that the combination centre of mass will be at (3,3,3) ?
29
Oct
Center of mass of 3 particle 10 kg, 20 kg and 30 kg is at (0,0,0,). Where should a particle of mass 40 kg be placed so that the combination centre of mass will be at (3,3,3) ? ). Where should a particle of mass 40 kg be placed so that the combination centre of [...]
An inverted T-shaped object is placed on a smooth horizontal floor as shown in figure. A force F is applied on the system as shown in figure. The value of x so that the system performs pure translational motion is
29
Oct
An inverted T-shaped object is placed on a smooth horizontal floor as shown in figure. A force F is applied on the system as shown in figure. The value of x so that the system performs pure translational motion is Two masses of 6 and 2 units are at position (6i - 7j) and (2i [...]
A machinist starts with three identical square plates but cuts one corner from one of them, two corners from the second and three corners from the third. Rank the three according to the x-coordinate of their centre of mass, from smallest to largest
29
Oct
A machinist starts with three identical square plates but cuts one corner from one of them, two corners from the second and three corners from the third. Rank the three according to the x-coordinate of their centre of mass, from smallest to largest A machinist starts with three identical square plates but cuts one corner [...]
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 [...]