Question

1. The position of an object is given by the function F(t) -cos(0.250.5) (a) What is the amplitude, frequency, and period of the motion? (b) What is the position of the object at t-0s and 0.2s? (c) Plot F(t) as a function of t, for 0 st 4π 2. The position of the motion of the bob in a simple pendulum in radians is given by What is the amplitude, frequency, and period of the motion? 3. A man enters a tall tower needing to know its height. He notes that a long pendulum extends rom the ceiling almost to the floor, and its period is 12 s How tall is the tower? Two playground swings start out together. After 5 complete oscillations, the swings are out of step by half a cycle. If the time it takes for one swing to complete 10 oscillations is 2 minutes, what is the difference in the heights of the swings? 5. A pendulum with a swing amplitude of 5° is known to have a period of 5 s. What is the 6. A ride at six flags straps you in and you swing like a pendulum. The length of the cord that 7. The position of a 0.5 kg object attached to a spring is described by the equation length of the pendulum's string? hold you is about 20 m. How long does it take to swing back and forth thrice? ((5m) cos/2m t). What is the spring constant? 8. A spring stretches 3 em when a 5 g object is hung from it. The object is replaced with a block of mass 50 g which oscillates in simple harmonic motion. What is the period of the motion? 9. It is known that a load with a mass of 25 g will stretch a spring 5 cm. The spring is stretched an additional 30 cm, and then released. (a) What is the spring's constant? (b) What is the period and frequency of the oscillations? 10. How would you determine the mass of an object on the space station in space?

Answer 1

The solution is given in the attached image.

In accordance with HomeworkLib policy only first question has to be solved. The calculation are shown explicitly.