10. Calculate the period, T, for the pendulum motion represented in the following Amplitude (in degrees) versus Time (in seconds) graphs. Figure 1-a is for the first crest and Figure 1-b is for the fifth crest of the same run? Show work. 16 14- (2.1500, 15.2 (6.1000, deg) 12 12 10 8 6 47 C Figure 1- a Figure 1-b

Find amplitude, period, frequency and/or angular frequency. The numbers I put are my guesses, but idk if they're right

4.  A mass on a spring oscillates between point A and B as shown, Use the below figure to answer this question. At which point is the acceleration of the mass greatest?

Estimate the stiffness of the spring, kk (in N/m) in a child’s pogo stick if the child has a mass of 27 kg and bounces once every 2.6 seconds. Type your answer to within one decimal place. Use a period (full stop) for a decimal place, eg. 500.0 - Do not use a comma or input your answer in some form of scientific notation. Do NOT include units in your answer.

1. How does your theoretical value for oscillation compare to the measured value of the period of oscillation? 2. When the position of the mass is farthest from equilibrium, what is its velocity? 3. When the magnitude of the mass's velocity is greatest, where is the mass relative to the equilibrium position?

89. The height h(t) (in feet) of the seat of a child's swing above ground level is given by h(t) = -1.1 cos -Lle) + 3.1 where t is the time in seconds after the swing is set in motion. a. Find the maximum and minimum height of the swing. b. When is the first time after t = 0 that the swing is at a height of 3 ft? Round to 1 decimal place. c. When is the second time after t = 0 that the swing is at a height of 3 ft? Round to 1 decimal place.

In an experiment to determine the acceleration due to gravity using a simple pendulum.

1:26 PM .. ? 16% I PHYS220_Spring-20-21_Practice Sheet-1_Keys.pdf oscillation, A, is: (a) 0.12 m (b)0.22 m (c) 0.31 m (d)0.42 m 2) A block of mass m is attached to a spring with force constant, k and oscillate at a frequency f. If the mass is changed to m' = m/2, and the spring force is changed to k' = 2k, then the new frequencyf' of the oscillation would be, (a) f' = 2f (b)f' = f (c) f' = f/2 (d)f' = 4f The following given is for questions 3 and 4: A block of mass m = 2 kg is attached to a spring with spring constant k = 200 N/m, and set to oscillates on a frictionless horizontal surface. At time t = 0 its position is xo = 0 and its velocity is vo = +5 m/s. 3) Which of the following is true about the oscillation amplitude and the phase constant, : (a) A = 0.5, p =n/2 (b)A = 0.5, ø=-1/2 (с) А %3D 0.25, ф -л/2 (d)A = 0.25, 9=-n/2 4) When the block's velocity has the value v = max/2, then its position has the possible values of: (а)х %3D +(3/4)A (b)x = ±A/2 (c) x = ±(v3/2)A (d)x =…

on a separate paper. It should be approximatel ge in length and include brick ons of what you did, your obsery ons. esults, and an analysis of your data, of error. 1. a. On the axes to the right draw a graph of the period of a pendulum as a function of its length. LENGTH (m) b. Explain the shape of the graph you have drawn. Is it linear or curved? Why? Figure 11-2 C. If you wanted to double the period of a pendulum, what change would you make to its length? Explain using two points on the line you have drawn (L₁, T) and (L₂, T) where T₂ is 2 x T and the required change in length is accurately represented. PERIOD (s)

The graph below represents the position versus time of a pendulum. X [m] WA 1- t' 8. [s] -1- -2 a). What is the maximum acceleration of the pendulum bob? b). What will the x position of the object be after 97 seconds? c). How long is the pendulum? d). What is the phase constant, o, of the motion?