Concept explainers
The motion of a mass on a spring hung vertically, where the mass oscillates up and down, can also be modeled using the rotating disk. Instead of the lights being placed horizontally along the top and pointing down, place the lights vertically and have the lights shine on the side of the rotating disk. A shadow will be produced on a nearby wall, and will move up and down. Write the equations of motion for the shadow taking the position at
Want to see the full answer?
Check out a sample textbook solutionChapter 15 Solutions
University Physics Volume 1
Additional Science Textbook Solutions
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
Essential University Physics (3rd Edition)
Conceptual Integrated Science
University Physics Volume 2
The Cosmic Perspective (8th Edition)
University Physics with Modern Physics (14th Edition)
- An oscillator goes back and forth 10.0 times in 20.0 s. What is the Period of the oscillation? For the oscillator in Problem 1, how much time would it take for 40.0 oscillations? For the oscillator in Problem 1, how many oscillations would happen in 10.0 s?arrow_forwardA force of 720 newtons stretches a spring 4 meters. A mass of 45 kilograms is attached to the end of the spring and is initially released from the equilibrium position with an upward velocity of 6 m/s. Give the initial conditions. x(0) = x'(0) = m 3 m/s Find the equation of motion. x(t) =arrow_forwardYou have constucted a pendulum as shown here, and by laying a meter stick underneath the pendulum, you have measured the distance from one end of its swing to the other to be 30 cm (as shown). You have also measured the period of that oscillation, which is the time it takes to complete one round trip, to be 2.2 sec. Using these two measurements, what is the average speed of the pendulum bob. Average speed is defined to be average total displacement speed total timearrow_forward
- When a force of 1.5 N is applied to a particular spring, it stretches 21 cm. A 0.120 kg mass is attached to this spring on a frictionless horizontal surface. The spring is pulled out 17 cm and released. Find: the equations describing its position, velocity, and acceleration as a function of time the position, velocity, and acceleration after 24 seconds have elapsedarrow_forwardConsider a spring with a spring constant of 10.0 N/m supporting a 2.28 kg mass on a horizontal table top. The mass is pulled so the spring is initially stretched 10 cm. Friction causes the oscillation to half every 4 seconds. Sketch a graph of the position of the mass with respect to time. Write the equation for this motion.arrow_forwardThe frequency of an oscillation is the number of times per second that it completes a full oscillation. O True Falsearrow_forward
- We can use the formulas presented in this module to determine both the frequency based on known oscillations and the oscillation based on a known frequency. Let’s try one example of each. (a) A medical imaging device produces ultrasound by oscillating with a period of 0.400 μs. What is the frequency of this oscillation? (b) The frequency of middle C on a typical musical instrument is 264 Hz. What is the time for one complete oscillation?arrow_forwardThe period of motion of an object-spring system is T = 0.642 s when an object of mass m= 266 g is attached to the spring. (a) Find the frequency of motion in hertz. (b) Find the force constant of the spring. (c) If the total energy of the oscillating motion is 0.176 J, find the amplitude of the oscillations. please show every step so I can learn how to do it. Thank you!arrow_forwardSelect the suitable conclusions from the options given 1. The time period of the simple pendulum is independent of and 2. The period of a simple pendulum depends on the 3. In order to triple the period of the simple pendulum, length of the simple pendulum should be increased byarrow_forward
- I need some help with this. For the Harmonic Motion of a mass+spring given in the picture, answer the following question: Velocity is the change in displacement with respect to time, i.e. v = dx/dt. Write an expression for the velocity of the mass as a function of time.arrow_forwardThe bob on a simple pendulum is pulled to the left 4in. from its equilibrium position. After release, the pendulum makes one complete back-and-forth cycle in 2 sec and follows simple harmonic motion. 1. Write a function to model the displacement d (in inches) of the bob as a function of the time t (in seconds) after release. Assume that the displacement to the right of the equilibrium position is positive. 2.Find the position and direction of movement of the bobo at t = 1.25 sec.arrow_forwardWhile waiting for your plane to take off, you suspend your keys from a thread and set the resulting pendulum oscillating. It completes exactly 90 cycles in 1 minute. You repeat the experiment as the plane accelerates down the runway, and now find the pendulum completes exactly 99 cycles in 1 minute. Find the plane's acceleration (m/s^2)arrow_forward
- University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice UniversityClassical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning