An endless inextensible string of length 15 m passes around two pins, A and B which are 5 m apart. This string is always kept tight and a small ring, R, of negligible dimensions, inserted in this string is made to move in a path keeping all segments RA, AB, RB tight (as mentioned earlier). The ring traces a path, given by conic. C, then:

A conducting ring of mass m and radius r has a weightless conducting rod PQ of length 2r and resistance 2R attached to it along its diametre. It is pivoted at its centre C with its plane vertical, and two blocks of mass m and 2m are suspended by means of a light inextensible string passing over it as shown in Fig. The ring is free to rotate about C and the system is placed in magnetic field B (into the plane of the ring). A circuit is now complete by connecting the ring at A and C to a battery of emf V. It is found that for certain value of V , the system remains static. Net torque applied by the tension in strings can be related as

A conducting ring of mass m and radius r has a weightless conducting rod PQ of length 2r and resistance 2R attached to it along its diametre. It is pivoted at its centre C with its plane vertical, and two blocks of mass m and 2m are suspended by means of a light inextensible string passing over it as shown in Fig. The ring is free to rotate about C and the system is placed in magnetic field B (into the plane of the ring). A circuit is now complete by connecting the ring at A and C to a battery of emf V. It is found that for certain value of V , the system remains static. The value of V can be related with m, B and r as

A conducting ring of mass m and radius r has a weightless conducting rod PQ of length 2r and resistance 2R attached to it along its diametre. It is pivoted at its centre C with its plane vertical, and two blocks of mass m and 2m are suspended by means of a light inextensible string passing over it as shown in Fig. The ring is free to rotate about C and the system is placed in magnetic field B (into the plane of the ring). A circuit is now complete by connecting the ring at A and C to a battery of emf V. It is found that for certain value of V , the system remains static. The value of V can be related with m, B and r as

Two very small balls A and B of masses 4.0kg and 5.0kg are affixed to the ends of a light inextensible cord that passes through a frictionless ring of radius negligible compared to the length of the cord. The ring is fixed at some height above the ground . Ball A is pulled aside and given a horizontal velocity so that it stars moving on a circular path parallel to the ground, keeping ball B in euilibrium as shown. speed of the ball A is closest to

A conducting ring of mass m and radius r has a weightless conducting rod PQ of length 2r and resistance 2R attached to it along its diametre. It is pivoted at its centre C with its plane vertical, and two blocks of mass m and 2m are suspended by means of a light inextensible string passing over it as shown in Fig. The ring is free to rotate about C and the system is placed in magnetic field B (into the plane of the ring). A circuit is now complete by connecting the ring at A and C to a battery of emf V. It is found that for certain value of V , the system remains static. In static condition, find the current through rod PC.

A large mass M and a small mass m hang at the two ends of string that passes through a smooth tube as shown in fig. The mass m moves around in a circular path which lies in a horizantal plane. The length of the string from the mass m to the top of the tube is of length l and theta is the angle this length makes with the vertical, what should be the frequency of rotation of the mass m so that M remains stationary if M=16kg, m=4kg, l=1m and g=pi^(2)m//s^(2)

Two rings are suspended from the points A and B on the ceiling of a room with the help of strings of length 1.2 m each as shown. The points A and B are separated from each other by a distance AB = 1.2 m. A boy standing on the floor throws a small ball so that it passes through the two rings whose diameter is slightly greater than the ball. At the moment when the boy throws the ball, his hand is at a height of 1.0 m above the floor. A stop watch which is switched on at the moment of throwing the ball reads 0.2 s when the ball passes through the first ring and 0.6 s when it passes through the second ring. The maximum height attained by the ball above the floor is:

Two rings are suspended from the points A and B on the ceiling of a room with the help of strings of length 1.2 m each as shown. The points A and B are separated from each other by a distance AB = 1.2 m. A boy standing on the floor throws a small ball so that it passes through the two rings whose diameter is slightly greater than the ball. At the moment when the boy throws the ball, his hand is at a height of 1.0 m above the floor. A stop watch which is switched on at the moment of throwing the ball reads 0.2 s when the ball passes through the first ring and 0.6 s when it passes through the second ring. The angle of projection of the ball is:

Two rings are suspended from the points A and B on the ceiling of a room with the help of strings of length 1.2 m each as shown. The points A and B are separated from each other by a distance AB = 1.2 m. A boy standing on the floor throws a small ball so that it passes through the two rings whose diameter is slightly greater than the ball. At the moment when the boy throws the ball, his hand is at a height of 1.0 m above the floor. A stop watch which is switched on at the moment of throwing the ball reads 0.2 s when the ball passes through the first ring and 0.6 s when it passes through the second ring. The projection speed of the ball is:

Two rings are suspended from the points A and B on the ceiling of a room with the help of strings of length 1.2 m each as shown. The points A and B are separated from each other by a distance AB = 1.2 m. A boy standing on the floor throws a small ball so that it passes through the two rings whose diameter is slightly greater than the ball. At the moment when the boy throws the ball, his hand is at a height of 1.0 m above the floor. A stop watch which is switched on at the moment of throwing the ball reads 0.2 s when the ball passes through the first ring and 0.6 s when it passes through the second ring. The ball lands on the floor at a distance: