Showing 11 to 20 of 96 Questions

A 7.00kg object is hung from the bottom end of a vertical spring fastened to an overhead beam. The object is set into vertical oscillations having a period of 2.60 s. Find the force constant of the spring.
0267 
A ball dropped from a height of 4.00 m makes a perfectly elastic collision with the ground. Assuming no mechanical energy is lost due to air resistance, (a) Show that the ensuing motion is periodic and (b) Determine the period of the motion. (c) Is the motion simple harmonic? Explain.
1905 
A ball of mass m is connected to two rubber bands of length L, each under tension T, as in Figure P15.67. The ball is displaced by a small distance y perpendicular to the length of the rubber bands. Assuming that the tension does not change, show that (a) The restoring force is ─ (2T/L) y and (b) The system exhibits simple harmo
2928 
A block is hung on a spring, and the frequency f of the oscillation of the system is measured. The block, a second identical block, and the spring are carried in the Space Shuttle to space. The two blocks are attached to the ends of the spring, and the system is taken out into space on a space walk. The spring is extended, and the system
0183 
A block of mass M is connected to a spring of mass m and oscillates in simple harmonic motion on a horizontal, frictionless track (Fig. P15.66). The force constant of the spring is k and the equilibrium length is L. Assume that all portions of the spring oscillate in phase and that the velocity of a segment dx is proportional to the dista
0302 
A block of mass m is connected to two springs of force constants k1 and k2 as shown in Figures P15.71a and P15.71b. In each case, the block moves on a frictionless table after it is displaced from equilibrium and released. Show that in the two cases the block exhibits simple harmonic motion with periods
11377 
A block of unknown mass is attached to a spring with a spring constant of 6.50 N/m and undergoes simple harmonic motion with an amplitude of 10.0 cm. When the block is halfway between its equilibrium position and the end point, its speed is measured to be 30.0 cm/s. Calculate (a) the mass of the block, (b) the period of the motion, and (
0523 
A block–spring system oscillates with an amplitude of 3.50 cm. If the spring constant is 250 N/m and the mass of the block is 0.500 kg, determine (a) The mechanical energy of the system, (b) The maximum speed of the block, and (c) The maximum acceleration.
1414 
A block–spring system undergoes simple harmonic motion with amplitude A. Does the total energy change if the mass is doubled but the amplitude is not changed? Do the kinetic and potential energies depend on the mass? Explain.
0203 
A cart attached to a spring with constant 3.24 N/m vibrates with position given by x = (5.00 cm) cos (3.60t rad/s). (a) During the first cycle, for 0 < t < 1.75 s, just when is the system’s potential energy changing most rapidly into kinetic energy? (b) What is the maximum rate of energy transformation?
0287
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