A heavy unifrm rope hangs vertically from the ceiling, with its lower end free. A disturbance on the rope travelling upward from the lower end has a velocyt `v` at a distance `x` from the lower end.

A uniform rope of mass M length L hangs vertically from the ceiling, with lower end free. A distbance on the rope trvelling upwards starting from the lower end has a velocity v. At a point P at distance x from the lower end.

A uniform rope having linear density lambda hangs vertically from the ceiling and its lower end is free. A disturbance produced at the free end has a speed v_0 at point P midway on the rope . Then the time taken by the disturbance pulse to reach the ceiling is

A uniform rope having linear density lambda hangs vertically from the ceiling and its lower end is free. A disturbance produced at the free end has a speed v_0 at point P midway on the rope . Then the time taken by the disturbance pulse to reach the ceiling is

A heavy but uniform rope of lenth L is suspended from a ceiling. (a) Write the velocity of a transverse wave travelling on the string as a function of the distance from the lower end. (b) If the rope is given a sudden sideways jerk at the bottom, how long will it take for the pulse to reach teh celling ? (c ) A particle is dropped from the ceiling at the instant the bottom end is given the jerk where will the particle meet the pulse ?

A heavy but uniform rope of lenth L is suspended from a ceiling. (a) Write the velocity of a transverse wave travelling on the string as a function of the distance from the lower end. (b) If the rope is given a sudden sideways jerk at the bottom, how long will it take for the pulse to reach teh celling ? (c ) A particle is dropped from the ceiling at the instant the bottom end is given the jerk where will the particle meet the pulse ?

A heavy but uniform rope of lenth L is suspended from a ceiling. (a) Write the velocity of a transverse wave travelling on the string as a function of the distance from the lower end. (b) If the rope is given a sudden sideways jerk at the bottom, how long will it take for the pulse to reach teh celling ? (c ) A particle is dropped from the ceiling at the instant the bottom end is given the jerk where will the particle meet the pulse ?

A uniform rope having mass m hangs vertically from a rigid support. A transverse wave pule is produced at the lower end. The speed v of wave pulse varies with height h from the lower end as: