Consider a rope with length l, mass per unit length ?, experiencing a gravitational acceleration g and hanging vertically as shown. (Figure 1) Let y refer to the height of a point P above the bottom of the rope.
Consider a rope with length l, mass per unit length ?, experiencing a gravitational acceleration g and hanging verticall...
L-M 7. A uniform flexible chain of length L, with mass per unit length A, passes over a small, frictionless, massless pulley. It is released from a rest position with a length of chain y hanging from one side and a length l-y from the other side. Find the acceleration a as a function of y a(y)-?
L-M 7. A uniform flexible chain of length L, with mass per unit length A, passes over a small, frictionless, massless pulley. It is released from a rest position with a length of chain y hanging from one side and a length l-y from the other side. Find the acceleration a as a function of y a(y)-?
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...
Problem 2: Hanging cable A cable of uniform mass per unit length p(x)-ρ constant, hangs freely from the ceiling as shown in the figure. Assume that the cable possesses no flexural stiffness. Derive the equation of motion for small horizontal vibrations y(x, t) of the cable as well as the associated boundary conditions. Problem 2: Hanging cable A cable of uniform mass per unit length p(x)-ρ constant, hangs freely from the ceiling as shown in the figure. Assume that the...
i need a clarify answer and well expressed Consider a thin rope of mass m and length L that hangs vertically from a fixed point at the top. Let the position of the lower end be y = 0 and the top be y = L. Because the rope is massive the tension will vary as a function of y. Show that the wave speed for this rope is v-vgy and the time required for a wave to travel the...
Consider a thin rope of mass m and length that hangs vertically from a fixed point at the top. Let the position of the lower end be and the top be . Because the rope is massive the tension will vary as a function of y. Show that the wave speed for this rope is and the time required for a wave to travel the whole rope is . We were unable to transcribe this imagey=0 We were unable to...
6. A block of mass M hangs from a uniform rope of length L and mass m. Find an expression for the tension in the rope as a function of the distance y measured vertically downward from the top of the rope.
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.
QUESTION 6 A rope with a total length of 6.50 m has a mass of 0.689 kg. It vibrates in a standing wave as shown below. The hanging mass provides a tension of 8.26 N 5.00 m a) What is the mass per unit length of the rope? b) What is the wave speed on the rope? c) What is the frequency of the wave? a) What is the mass per unit length of the rope? b) What is the...
A rope with a total length of 6.50 m has a mass of 0.689 kg. It vibrates in a standing wave as shown below. The hanging mass provides a tension 8.26 N. 5.00 m a) What is the mass per unit length of the rope? b) What is the wave speed on the rope? What is the frequency of the wave? O A The mass per unit length is 1.27 kg/m B. The mass per unit length is 0.106 kg/m...