Inin. et tile acceleration a g.] 78. A uniform cord of length & and mass m...
A rope of total mass m and length L is suspended vertically with an object of mass M suspended from the lower end. Find an expression for the wave speed at any point a distance x from the lower end, and calculate the time needed for the transverse pulse to travel the length of the rope. The rope has a length of 39.2 m and a mass of 1.00 kg. Suspended object has a mass of 8.00 kg.
Problem 1 [8 pts] A uniform string of mass m and length L hangs vertically from the ceiling. (a) Find the tension in the rope as a function of distance from the lower end, and therefore determine the speed of a wave pulse as a function of position. (b) Solve by integration 2 = v(y) to determine the time it takes a wave pulse to travel the full length of the string.
2. A cord of mass 0.55 kg is stretched between two supports 7.7 m apart. if the tension in the cord is 140 N, and the cord is plucked a. what is the speed of the resulting pulse on the cord? b. how long will it take a pulse to travel from one support to the other?
A 4.00-m length of light nylon cord is wound around a uniform cylindrical spool of radius 0.500 m and mass 1.00 kg. The spool is mounted on a frictionless axle and is initially at rest. The cord is pulled from the spool with a constant acceleration of magnitude 2.74 m/s2. (a) How much work has been done on the spool when it reaches an angular speed of 6.55 rad/s? _______J (b) How long does it take the spool to reach...
A 4.00-m length of light nylon cord is wound around a uniform cylindrical spool of radius 0.500 m and mass 1.00 kg. The spool is mounted on a frictionless axle and is initially at rest. The cord is pulled from the spool with a constant acceleration of magnitude 2.82 m/s2. (a) How much work has been done on the spool when it reaches an angular speed of 7.45 rad/s? J (b) How long does it take the spool to reach...
A cord of mass 0.65 kg is stretched between two supports 28 m apart. If the tension in the cord is 150 N, how long will it take a pulse to travel from one support to the other?
A heavy rope with length L and mass M is attached to the ceiling and is allowed to hang freely. (a) Find an expression for the tension in the rope at a point a distance y from the bottom, and use this to show that the speed of transverse waves on the rope is independent of its mass and length but does depend on the distance y according to the equation ?=??. (b) If L = 3.0 m and the...
A cord of mass 0.75 kg is stretched between two supports 30 m apartIf the tension in the cord is 130 N , how long will it take a pulse to travel from one support to the other?
Analysis Model Tutorial A4.00-m length of light nylon cord is wound around a uniform cylindrical spool of radius 0.500 m and mass 1.00 kg. The spool is mounted on a frictionless axle and is initially at rest. The cord is pulled from the spool with a constant acceleration of magnitude 2.30 m/s? (a) How much work has been done on the spool when it reaches an angular speed of 4.00 rad/s? (b) How long does it take the spool to...
A massive uniform string of a mass m and length hangs from the ceiling. Find the speed of a transverse wave along the string as a function of the height h from the ceiling. (10 pts)
A massive uniform string of a mass m and length hangs from the ceiling. Find the speed of a transverse wave along the string as a function of the height h from the ceiling. (10 pts)