The ball in Figure 15.13 moves in a circle of radius 0.50 m. At t = 0, the ball is located on the left side of the turntable, exactly opposite its position in Figure 15.13. What are the correct values for the amplitude and phase constant (relative to an x axis to the right) of the simple harmonic motion of the shadow? (a) 0.50 m and 0 (b) 1.00 m and 0 (c) 0.50 m and π (d) 1.00 m and π Figure 15.13 An experimental setup for demonstrating the connection between a particle in simple harmonic motion and a corresponding particle in uniform circular motion.
The ball in Figure 15.13 moves in a circle of radius 0.50 m. At t = 0, the ball is located on the left side of the turntable, exactly opposite its position in Figure 15.13. What are the correct values for the amplitude and phase constant (relative to an x axis to the right) of the simple harmonic motion of the shadow? (a) 0.50 m and 0 (b) 1.00 m and 0 (c) 0.50 m and π (d) 1.00 m and π Figure 15.13 An experimental setup for demonstrating the connection between a particle in simple harmonic motion and a corresponding particle in uniform circular motion.
Solution Summary: The author calculates the amplitude and phase constant of the simple harmonic motion of a particle.
The ball in Figure 15.13 moves in a circle of radius 0.50 m. At t = 0, the ball is located on the left side of the turntable, exactly opposite its position in Figure 15.13. What are the correct values for the amplitude and phase constant (relative to an x axis to the right) of the simple harmonic motion of the shadow? (a) 0.50 m and 0 (b) 1.00 m and 0 (c) 0.50 m and π(d) 1.00 m and π
Figure 15.13 An experimental setup for demonstrating the connection between a particle in simple harmonic motion and a corresponding particle in uniform circular motion.
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.
A block of mass 0.5 kg is attached to a spring and is moving in simple harmonic motion on a frictionless horizontal surface. The amplitude of the motion is 0.25 m and the period is 2.0 s. When the block is at x = 0.1 m, what are the total energy, the maximum speed, and the maximum acceleration of the block?
A pendulum that consists of two uniform rings, the first ring has Radius R = 12 cm and mass 2.5kg, and the second ring has radius r= 7cm and mass 1.6kg. Both rings are attached to a rod of mass 0.15kg. The pendulum swings freely about frictionless pivot o. If the pendulum is to have a period of 2.2 a for small oscillations, what must be the rod length L?
A simple pendulum of length 20 cm and mass 5.0 g is suspended in a race car traveling with constant speed 70 m/s around a circle of radius 50 m. If the pendulum undergoes small oscillations in a radial direction about its equilibrium position, what is the frequency of oscillation?
Chapter 15 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
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