A vertical elastic cord is stretched 0.306 m when a mass 1.66 kg is attached to...
A vertical elastic cord is stretched 0.306 m when a mass 1.66 kg is attached to it. The cord is then stretched an additional 0.114 m and released from rest. Assuming the cord is an ideal linear spring, how long does it take for the mass to reach its original equilibrium position? HINTS: First find the elastic constant of the elastic cord, using the fact that the gravitational weight mg of the mass is balanced by the upward pull of the cord, initially. Knowing k and m, you can figure out the period of the simple harmonic oscillator.
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A vertical elastic cord is stretched 0.306 m when a mass 1.66 kg
is attached to...
As indicated in the figure, a steel ball (m 200 g) is attached to a massless elastic cord which is initially not stretched. When the ball is released from rest at A, t slides without friction through...
As indicated in the figure, a steel ball (m 200 g) is attached to a massless elastic cord which is initially not stretched. When the ball is released from rest at A, t slides without friction through a thin curved tube with constant radius of curvature r = 70.0 cm. The cord stretches as the ball slides down the tube and follows the curvature of the surface, as indicated by the thick dashed line in the figure. Furthermore, the cord...
10) A bungee cord measures 30 m when relaxed and has negligible mass. When it is...
10) A bungee cord measures 30 m when relaxed and has negligible mass. When it is stretched, it can be modeled as a spring with spring constant k = 68 N/m. (This means the elastic energy in the cord is given by Usp = 1 2 kx2 , where x = L−30 m; in other words, x is the additional distance the cord is stretched beyond its “natural length” 30 m.) A 80-kg jumper secured to this cord wants to...
A 3.10 kg fish is attached to the lower end of a vertical spring that has...
A 3.10 kg fish is attached to the lower end of a vertical spring that has negligible mass and force constant 850 N/m . The spring initially is neither stretched nor compressed. The fish is released from rest. a)What is its speed after it has descended 0.0460 m from its initial position? b)What is the maximum speed of the fish as it descends?
A spring of spring constant k=261 N/m is attached to a block of mass 1.38 kg...
A spring of spring constant k=261 N/m is attached to a block of mass 1.38 kg and stretched horizontally to a position 15.0 cm from the springs equilibrium position. The spring and mass are released and oscillate in simple harmonic motion across a frictionless horizontal surface. What is the maximum speed obtained by the mass? m/s
A block of mass m = 6.14 kg is attached to a spring with spring constant...
A block of mass m = 6.14 kg is attached to a spring with spring constant k = 1682 N/m and rests on a frictionless surface. The block is pulled, stretching the spring a distance of 0.135 m, and is held still. The block is then released and moves in simple harmonic motion about the equilibrium position. (Assume that the block is stretched in the positive direction.) (b) Where is the block located 3.24 s after it is released? (Give...
A 2.95 kg fish is attached to the lower end of a vertical spring that has...
A 2.95 kg fish is attached to the lower end of a vertical spring that has negligible mass and force constant 900 N/m . The spring initially is neither stretched nor compressed. The fish is released from rest. A-What is its speed after it has descended 0.0570 m from its initial position? Express your answer with the appropriate units. B-What is the maximum speed of the fish as it descends? Express your answer with the appropriate units.
5. In bungee jumping, it is obviously important to know in advance how far an elastic cord of un-...
5. In bungee jumping, it is obviously important to know in advance how far an elastic cord of un-stretched length L will stretch with a given weight attached to its end. In one model for this elongation, the cord is simply considered to be a weak spring with constant k and the person tied to the end of the cord is a point mass m. Air resistance and any pendulum motion of the cord mass system are ignored. Suppose a...
(16 pts) A mass m is attached to a spring which is held stretched a distance...
(16 pts) A mass m is attached to a spring which is held stretched a distance x by a force F, and then released. The spring compresses, pulling the mass. There is enough riction so that the mass comes to rest just when the spring reaches its equilibrium position. Determine the coefficient of friction, μ, in terms of FMA and m.
Question 3. [12 marks] in the diagram, two blocks (m - 4 kg and m 10...
Question 3. [12 marks] in the diagram, two blocks (m - 4 kg and m 10 kg) are a an inextensible cord of negligible mass that passes Block m, sits on a horizontal, rough surface with μ.-0.300 and :0.5 to an ideal spring (k 40 N/m) that is initially stretched relative initial tension in the spring 16 N. The system is then released from rest. Deternm ttached by over an ideal (massless, frictionless) pulley to its resting length, so that...
A 0.294-kg mass is attached to a spring with a force constant of 51.4 N/m. If...
A 0.294-kg mass is attached to a spring with a force constant of 51.4 N/m. If the mass is displaced 0.270 m from equilibrium and released, what is its speed when it is 0.114 m from equilibrium?
As indicated in the figure, a steel ball (m 200 g) is attached to a massless elastic cord which is initially not stretched. When the ball is released from rest at A, t slides without friction through a thin curved tube with constant radius of curvature r = 70.0 cm. The cord stretches as the ball slides down the tube and follows the curvature of the surface, as indicated by the thick dashed line in the figure. Furthermore, the cord...
5. In bungee jumping, it is obviously important to know in advance how far an elastic cord of un-stretched length L will stretch with a given weight attached to its end. In one model for this elongation, the cord is simply considered to be a weak spring with constant k and the person tied to the end of the cord is a point mass m. Air resistance and any pendulum motion of the cord mass system are ignored. Suppose a...
(16 pts) A mass m is attached to a spring which is held stretched a distance x by a force F, and then released. The spring compresses, pulling the mass. There is enough riction so that the mass comes to rest just when the spring reaches its equilibrium position. Determine the coefficient of friction, μ, in terms of FMA and m.
Question 3. [12 marks] in the diagram, two blocks (m - 4 kg and m 10 kg) are a an inextensible cord of negligible mass that passes Block m, sits on a horizontal, rough surface with μ.-0.300 and :0.5 to an ideal spring (k 40 N/m) that is initially stretched relative initial tension in the spring 16 N. The system is then released from rest. Deternm ttached by over an ideal (massless, frictionless) pulley to its resting length, so that...
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