Consider a uniform rope of mass m and length L is attached to
shaft is rotating at constant angular velocity w.
Page PROBLEM 3 (10 POINTS) A uniform rope of mass m and length L is attached...
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 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 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.
A uniform rod with a mass m and length L has one end attached to a pivot. The rod swings around on a frictionless horizontal table with angular speed wo. A ball with mass m (so same mass as the rod) is placed on the table a distance d from the pivot. The ball is made of clay so when the rod strikes it, the ball sticks to the rod (i.e., inelastic collision). If the final (post-collision) angular velocity of...
A rod uniform and homogeneous AB of length L=4.00 m is attached
to a wall as shown and secured via a massless rope BC of length
l=5.00 ml=5.00 m to the wall (see Fig. 4). A mass M1=40.0 kg is
attached to the rod at B. The rod itself has a mass M=2.00 kg.
Assume that the tension in the string is T. Hint - set up the two
force equations (along x and y axes) and the torque equation....
PROBLEM 1 (10 POINTS) A uniform rope of weight W hangs between two trees. The ends of the rope are at the same height, and they each make angle 0 with the trees. Find a) the tension at either end of the rope b) The tension in the middle of the rope. PROBLEM 2 (10 POINTS) A particle of mass m moving along a straight line is acted on by a retarding force (one always directed against the motion) F-bea",...
A uniform board of length 2.40 m and mass 4.00 kg is pivoted at
one end and has a rope attached at the other end, as shown in the
figure below. A bucket of mass 2.00 kg is suspended 40.0 cm from
the rope. Find: (a) the tension in the rope; (b) the horizontal and
vertical forces exerted by the pivot.
Problem. A rope of mass M= 0.22 kg, of length L = 0.32 m, and a tension of T = 740 N. Find the first 10 frequencies obtained through the relationship fn = 21/12 fn-1 Donde j = M/L, X1 = 2L, v= VI f1=v/1
An object of mass M = 2.00 kg is attached to a spring with spring constant k = 550 N/m whose unstretched length is L = 0.200 m , and whose far end is fixed to a shaft that is rotating with an angular speed of ω = 5.00 radians/s . Neglect gravity and assume that the mass also rotates with an angular speed of 5.00 radians/s as shown. (Figure 1)When solving this problem use an inertial coordinate system, as...
An object of mass M= 2.00 kg. is attached to a spring with spring constant k= 198 N/m whose unstretched length is L= 0.200 m., and whose far end is fixed to a shaft that is rotating with an angular speed of ω = 3.00 radians/s. Neglect gravity and assume that the mass also rotates with an angular speed of 3.00 radians/s as shown. (Intro 1 figure)When solving this problem use an inertial coordinate system, as drawn here. (Intro 2...