This problem concerns a weight suspended from the ceiling by a spring. (See the figure below.)Let d be the distance in centimeters from the ceiling to the weight. When the weight is motionless, d = 10. If the weight is disturbed, itbegins to bob up and down, or oscillate. Then d is a periodic function of t, time in seconds, so d = f(t).d (cm)1510t (sec)3.00.01.01.52.02.5Determine the midline, period, amplitude, and the minimum and maximum values of f from the graph.Interpret these quantities physically; that is, use them to describe the motion of the weight.ell Find the maximum value of f and give its physical interpretation.The maximum ofcm is the largest distance from the ceiling to the weight (the distance when the spring is at its maximum extension).

Given, The oscillation of block in up and down manner

Answered: This problem concerns a weight…

Similar questions

A oscillation is described by the following function of velocity against time: v(t) = (3.2 m/s) sin [(21.2 rad/s)f] What is this oscillator's amplitude, in meters? Answer
The free-fall acceleration on the Moon's surface is g = 1.63 m/s². How long must a pendulum be to have a period of 3.5 seconds on the Moon? Enter the length in meters, without the unit. For full credit, your answer must be within ±2% of the correct value.
Show that the function x(t) = A cos ω1t oscillates with a frequency ν = ω1/2π. What is the frequency of oscillation of the square of this function, y(t) = [A cos ω1t]2? Show that y(t) can also be written as y(t) = B cos ω2t + C and find the constants B, C, and ω2 in terms of A and ω1
An oscillator has an equation of x(t) = (0.12 m) cos( 4.2t) Assuming that w is in SI units (radians/s), find the period of oscillation in seconds with two digits of precision. Your Answer: Answer
Show that the natural vibration frequency of the system in Fig. E1.6a is w, = w,(1 – w/w)/2, where Wn is the natural vibration frequency computed neglecting the action of gravity, and wer is the buckling weight. 2.18
The position of x of an oscillating particle as a function of time t is given by x= A cos (Bt) where A and B are constants. What are the physical dimension of those constants?
A 52.6 cm-long pendulum takes 2.50 minutes to undergo 104.1 complete oscillation cycles. (a) Compute the pendulum's period (in s). (b) Determine the acceleration due to gravity (in m/s²) at the place where the pendulum is located. m/s²
The displacement of an object is described by this equation, where x is in meters and t is in seconds: x= (0.44 m) cos(5.7t) What is the frequency (Hz) of the oscillating object? Round your answer to 5 decimal places.
The displacement of an object is described by this equation, where x is in meters and t is in seconds: x= (0.44 m) cos(5.6t) What is the frequency (Hz) of the oscillating object? Round your answer to 2 decimal places.
A body at the end of a spring oscillates up and down forty times in 8.0 s. Calculate the period and frequency of the oscillation.
Using the result of the previous question, find the value of l1, if it is given that the first pendulum swings back and forth 10 times per minute, while the second one swings back and forth 300 times per hour and l2 is 2.6 m. Give your answer in SI units. Answer: Choose... +
Consider the case of a student wishing to determine the spring constant for a spring by measuring the period of oscillation of a mass on the spring. The student knows that the relationship between the spring constant (k), the mass (m), and the period of oscillation (T) is given by the equation T = 2πsquare root of m/k. (1) This is not a Iinear equation; to see this, plot the period (T) vs. mass ( m). E quation ( 1) can be made linear by squaring both sides of equation (1). Next try to put the equation into y = mx +b form (dont confuse m for slope in this equation with m for mass in equation 1 above). T2, is the independent variable, like y, m is the independent variable. Now plot T2 versus m and find the slope of the Iine in your graph. The slope of the resulting Iine can be used to determine the spring constant k. Show your calculation of the slope and k, the spring constant on your graph.

SEE MORE QUESTIONS