| A | B |
|---|
| A 76-N crate is attached to a spring (k = 450 N/m). How much displacement is caused by the weight of this crate? | 0.17 m |
| A spring of k = 1962 N/m loses its elasticity if stretched more than 50.0 cm. What is the mass of the heaviest object the spring can support without being damaged? | 100 kg |
| If a mass of 0.55 kg attached to a vertical spring stretches the spring 2.0 cm from its original equilibrium position, what is the spring constant? | 269.5 N/m |
| You need to know the height of a tower, but darkness obscures the ceiling. You note that a pendulum extending from the ceiling almost touches the floor and that its period is 12 s. How tall is the tower? | 35.7 m |
| What is the period of a 3.98-m-long pendulum? | 4 s |
| What is the acceleration due to gravity at a location where a 6.00-m-long pendulum swings through exactly 100 cycles in 492 s? | 9.79 m/s^2 |
| The body of a 1275-kg car is supported on a frame by four springs. Two people riding in the car have a combined mass of 153 kg. When driven over a pothole in the road, the frame vibrates with a period of 0.840 s. For the first few seconds, the vibration approximates simple harmonic motion. Find the spring constant of a single spring. | 19,974 N/m |
| A mass of 0.30 kg is attached to a spring and set into vibration with a period of 0.24 s. What is the spring constant of the spring? | 205.6 N/m |
| A spring of spring constant 30.0 N/m is attached to a mass and the system is set in motion. Find the period and frequency of vibration if the attached mass is 2.3 kg. | 1.74 s; 0.57 Hz |
| A child swings on a playground swing with a 2.5-m-long chain. What is the period of the child's motion? What is the frequency of vibration? | 3.17 s; 0.32 Hz |
| A 0.75-kg mass attached to a vertical spring stretches the spring 30 cm. What is the spring constant? The mass-spring system is now placed on a horizontal surface and set vibrating. What are the period and frequency of vibration? | 24.5 N/m; 1.10 s; 0.91 Hz |
| Find the length of a pendulum that oscillates with a frequency of 0.16 Hz. | 9.90 m |
| A spring with a spring constant of 180 N/m is attached to a 1.5-kg mass and then set in motion. What is the period of the mass-spring system? What is the frequency of vibration? | 0.57 s; 1.74 Hz |
| A simple 2.00-m-long pendulum oscillates in a location where g = 9.80 m/s^2. How many complete oscillations does this pendulum make in 5.00 min? | ~105 oscillations |
