Question
Question 3 A mass is hanging from the ceiling on a spring and oscillating (forever, and without friction). At its highest point, the mass is 12 cm from the floor, and at its lowest point, the mass is 6 cm from the floor. At t= 0, the mass is at its equilibrium and moving downwards, and a single period takes 0.5 seconds. HINT: Graph your y(t) to check your answers. (a) Find a formula for y(t), the position of the mass from the floor as a function of time. (b) What is the position, velocity, and acceleration of the object at t= 2? (c) In its first period, during what time interval(s) is the speed, |v|, of the mass less than 1 cm/s?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution
Trending nowThis is a popular solution!
Step by stepSolved in 3 steps with 2 images
Knowledge Booster
Similar questions
- A watch hanging from a chain swings back and forth every 0.7 seconds . What is the frequency of its oscillations ? Calculate answer to one decimal .arrow_forwardTen measurements of the period of a simple pendulum were as follows: 2.13 s, 2.07 s, 2.24 s, 2.20 s, 2.08 s, 2.11 s, 2.15 s, 2.19 s, 2.22 s, 2.16 s (1) Calculate the standard deviation (SD) of the measurement results, and the standard error which is given by:standard error = SD/narrow_forwardA spring is attached to the ceiling and pulled 10 cm down from equilibrium and released. The amplitude decreases by 11% each second. The spring oscillates 9 times each second. Find an equation for the distance, D the end of the spring is below equilibrium in terms of seconds, t. D(t) =arrow_forward
- 5 kilogram object is suspended from a string. The string is 4 meters long. What is the period of the object ting as a pendulum? Express your answer a number of seconds, omitting the unit.arrow_forwardConsider two pendulums with lengths l1 and I2. Express the ratio of their lengths //l2 in terms of periods T1 and T2. When submitting your answer please keep in mind that, for example T2/T2 must be written as "T1^2/T2". Please use the "Display response" button to check you entered the answer you expect. Display responsearrow_forwardThe block is at rest as shown. What is the peiod of the oscillation if the block is pulled down by 10 cm, in seconds? Use g = 10 m/s2. Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.arrow_forward
arrow_back_ios
arrow_forward_ios