Let’s begin with a straightforward example of simple harmonic motion (SHM). A spring is mounted horizontally on an air track as in (Figure 1), with the left end held stationary. We attach a spring balance to the free end of the spring, pull toward the right, and measure the elongation. We determine that the stretching force is proportional to the displacement and that a force of 6.0 NN causes an elongation of 0.030 mm. We remove the spring balance and attach a 0.50 kgkg object to the end, pull it a distance of 0.040 mm, release it, and watch it oscillate in SHM as in (Figure 2). Find the following quantities: The force constant of the spring The maximum and minimum velocities attained by the vibrating object The maximum and minimum accelerations The velocity and acceleration when the object has moved halfway to the center from its initial position The kinetic energy, potential energy, and total energy in the halfway position If you had pulled the object out a distance of 0.049 mm before releasing it, how much kinetic energy would it have at the 0.025 mm mark?
Let’s begin with a straightforward example of simple harmonic motion (SHM). A spring is mounted horizontally on an air track as in (Figure 1), with the left end held stationary. We attach a spring balance to the free end of the spring, pull toward the right, and measure the elongation. We determine that the stretching force is proportional to the displacement and that a force of 6.0 NN causes an elongation of 0.030 mm. We remove the spring balance and attach a 0.50 kgkg object to the end, pull it a distance of 0.040 mm, release it, and watch it oscillate in SHM as in (Figure 2). Find the following quantities: The force constant of the spring The maximum and minimum velocities attained by the vibrating object The maximum and minimum accelerations The velocity and acceleration when the object has moved halfway to the center from its initial position The kinetic energy, potential energy, and total energy in the halfway position If you had pulled the object out a distance of 0.049 mm before releasing it, how much kinetic energy would it have at the 0.025 mm mark?
Let’s begin with a straightforward example of simple harmonic motion (SHM). A spring is mounted horizontally on an air track as in (Figure 1), with the left end held stationary. We attach a spring balance to the free end of the spring, pull toward the right, and measure the elongation. We determine that the stretching force is proportional to the displacement and that a force of 6.0 NN causes an elongation of 0.030 mm. We remove the spring balance and attach a 0.50 kgkg object to the end, pull it a distance of 0.040 mm, release it, and watch it oscillate in SHM as in (Figure 2). Find the following quantities: The force constant of the spring The maximum and minimum velocities attained by the vibrating object The maximum and minimum accelerations The velocity and acceleration when the object has moved halfway to the center from its initial position The kinetic energy, potential energy, and total energy in the halfway position If you had pulled the object out a distance of 0.049 mm before releasing it, how much kinetic energy would it have at the 0.025 mm mark?
Let’s begin with a straightforward example of simple harmonic motion (SHM). A spring is mounted horizontally on an air track as in (Figure 1), with the left end held stationary. We attach a spring balance to the free end of the spring, pull toward the right, and measure the elongation. We determine that the stretching force is proportional to the displacement and that a force of 6.0 NN causes an elongation of 0.030 mm. We remove the spring balance and attach a 0.50 kgkg object to the end, pull it a distance of 0.040 mm, release it, and watch it oscillate in SHM as in (Figure 2). Find the following quantities:
The force constant of the spring
The maximum and minimum velocities attained by the vibrating object
The maximum and minimum accelerations
The velocity and acceleration when the object has moved halfway to the center from its initial position
The kinetic energy, potential energy, and total energy in the halfway position
If you had pulled the object out a distance of 0.049 mm before releasing it, how much kinetic energy would it have at the 0.025 mm mark?
Definition Definition Special type of oscillation where the force of restoration is directly proportional to the displacement of the object from its mean or initial position. If an object is in motion such that the acceleration of the object is directly proportional to its displacement (which helps the moving object return to its resting position) then the object is said to undergo a simple harmonic motion. An object undergoing SHM always moves like a wave.
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