Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Chapter 23.2, Problem 3aTH
To determine
The flaw in the pulse of the spring.
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Read and analyze each word problem and give what is/are required. Write the detailed
solution
If possible, express your final answer in the form u(t)= Rcos(@,t – 8).
2. A spring is stretched 3 in by a 5-Ib weight. Let the weight be pulled down 4 in below
equilibrium and then given an upward velocity of 8 fps. Describe the motion, then find the
maximum displacement of the motion.
Christine Karera hangs a spring and it oscillates at a frequency of 60 cycles in a minute when an object is attached to it.
A. Calculate the mass of the object if the spring constant is 250 N/m. Show your formula transformation.
B. Solve for the frequency of a vibrating pendulum if it has a length of 2 m. What will be its period? If you disregard the length provided (2m), what will be the length of the pendulum if period (T) is given with a value of 3 seconds? Show your formula transformation.
I. For the following problems, set up the differential equation that describes the motion under
the assumption of this section. Solve the differential equation. State whether the motion of
the spring system is harmonic, damped oscillation, critically damped oscillation, or
overdamped. If the motion is overdamped oscillation, rewrite in the amplitude-phase form.
4. A spring with spring constant k = 12 slug/s has a mass attached that stretches the spring
2-2/3 ft. The damping coefficient is 7 slug/s. The mass is pushed i ft above the rest
position and then released with a velocity of 1 ft/s downward.
Chapter 23 Solutions
Tutorials in Introductory Physics
Ch. 23.1 - Prob. 1THCh. 23.1 - In the spaces provided belowright, carefully draw...Ch. 23.1 - Prob. 2bTHCh. 23.1 - We begin by considering the forces exerted on a...Ch. 23.1 - Prob. 3bTHCh. 23.1 - Prob. 3cTHCh. 23.1 - Prob. 3dTHCh. 23.1 - Prob. 3eTHCh. 23.1 - Prob. 4THCh. 23.2 - Prob. 1TH
Ch. 23.2 - Prob. 2aTHCh. 23.2 - Prob. 2bTHCh. 23.2 - Prob. 2cTHCh. 23.2 - Prob. 3aTHCh. 23.2 - Prob. 3bTHCh. 23.2 - Prob. 3cTHCh. 23.2 - The figure at right has several errors. How many...Ch. 23.3 - Prob. 1aTHCh. 23.3 - Prob. 1bTHCh. 23.3 - Prob. 1cTHCh. 23.3 - For each of the periodic functions below, indicate...Ch. 23.3 - Prob. 2THCh. 23.3 - Use trigonometry to determine the mathematical...Ch. 23.3 - Starting from the equation that you wrote above,...Ch. 23.3 - Suppose the speed of the refracted wave were half...Ch. 23.3 - Prob. 3dTHCh. 23.4 - A long, thin steel wire is cut in half, and each...Ch. 23.4 - A long, thin steel wire is cut in half, and each...Ch. 23.4 - A long, thin steel wire is cut in half, and each...Ch. 23.4 - Consider an instant when the fields are nonzero at...Ch. 23.4 - How would your answers to parta be different if...Ch. 23.4 - Prob. 3TH
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- Read and analyze each word problem and give what is/are required. Write the detailed solution If possible, express your final answer in the form u(t)= Rcos(@,t – 8). 4. A 10-kg mass is attached to a spring having a spring constant of 140 N/m. The mass is started in motion from the equilibrium position with an initial velocity of 1 m/sec in the upward direction and with an applied external force F(f) = 5 sin t. Find the subsequent motion of the mass if the force due to air resistance is -90ù N.arrow_forwardAssume arrows if no symbols are shown at the ends of the graph. State your answers using interval notation. Consider the function graphed below. 10 -10 -9 -8 -6 10 -4 -5 a. The function is increasing on the interval(s): b. The function is decreasing on the interval(s): c. The function is constant on the interval(s): d. The domain of the function is: e. The range of the function is:arrow_forwardSolve the following problem, create a simple illustration and show your solutions. 1. A pendulum is observed to complete 30 full cycles in 57 seconds. a. Calculate the period of the motion (seconds) b. Calculate the frequency (Hz)arrow_forward
- I. For the following problems, set up the differential equation that describes the motion under the assumption of this section. Solve the differential equation. State whether the motion of the spring system is harmonic, damped oscillation, critically damped oscillation, or overdamped. If the motion is overdamped oscillation, rewrite in the amplitude-phase form. 5. A long spring wiun spring constant k = 8 g/s² has a mass attached that stretches the spring 245 cm. the damping coefficient is 8 = 8 g/s. At time t = 0, the mass is at equilibrium position and has a velocity of 3 cm/s downward. SS %3Darrow_forwardLastly, from part 1, pendulum lab, we clearly would need to set the bob swinging from some angle along with considering other parameters (set up) for our experiment. With that, lets think about some follow-up questions. a. Does the period of a pendulum depend on starting angle? why or why not? b. Does the period of pendulum depend on mass? why or why not? c. Is the ratio of length to period always a guarantee for a value of g? explain. d. Using the predictive model that was obtained for both f(L) and T(L), determine the period at lengths 35 cm, 40 cm, and 45 cm. Be sure to take exp(f(L)) for the exact period. e. What is the general conclusion of the period obtained for other lengths?arrow_forwardInstructions. Solve each problem completely. Clearly indicate all steps of your solution. Box your final answer. Given the feedback system shown below: Bump disturbance Preview of disturbance TAs) DG) K, Vehicle dynamics Bounce of Desired R(s) deflection auto or deficction from horizontal Determine the following: Block diagram given that Ta(s) = 0 Transfer function G(s)= Y6) R(s) given Td(s) = 0arrow_forward
- 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)arrow_forwardwhat I can do? Directions: Solve the following problems. Organize and show your complete solutions. 1. A block weighing 4.0 kg is attached to a wall by a spring with a spring constant k=300 N/m. If the block is displaced 25 cm from equilibrium before being released, calculate the a. amplitude b. frequency C. period 2. A spring is hung with a 1g object and vibrated. For the vibration frequency to double the original vibration frequency, what should be the mass of the object?arrow_forwarda.) Explain the output waveform at + input cycle. b.) Explain the output waveform at – input cycle. I need answer ASAP. Thank you! Short explanation will do!arrow_forward
- To describe the different types of mechanical waves. Write down the relationship between wave speed, wave length, frequency, period, angular frequency, wave number. Draw on the picture below to point out the directions of velocities and accelerations about the particles a,b,c,d,e we choose.arrow_forwardSolve the following problem, create a simple illustration, and show your solutions. 1. A 0.5 kg mass is attached vertically on the spring and stretches 0.3 m. The set-up the spring horizontally on a frictionless table with the same mass. The mass is pushed so that the spring will be compressed at 0.15 m and released. Assume simple harmonic motion. a. Calculate the spring constant (k) and angular frequency (angular frequency, w = 2f ). b. Calculate the maximum acceleration and velocity c. Calculate the frequency (Hz) and period of vibration (seconds). [For spring-mass systems, use T = 2n k is in N/m] where m is in kg andarrow_forwardSelect the suitable conclusions from the options given 1. The time period of the simple pendulum is independent of and 2. The period of a simple pendulum depends on the 3. In order to triple the period of the simple pendulum, length of the simple pendulum should be increased by length of the cord 9 times mass of bob amplitude of oscillations doubled pt .. square of the length of the cord increases 5: Ohm's Law Verification Jump to... decreases frequency 3 timesarrow_forward
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