The forces acting on a simple pendulum are shown in Fig. 13.26. (a) Show that, for the
Question:
(a) Show that, for the small angle approximation (sin θ θ), the force producing the motion has the same form as Hookes law.
(b) Show by analogy with a mass on a spring that the period of a simple pendulum is given by T = 2ÏL/g.
mg cos θ ing sin θ nt
Step by Step Answer:
a In the tangential directi...View the full answer
Related Video
In Physics, a force is an influence that can change the motion of an object. A force can cause an object with mass to change its velocity, i.e., to accelerate. Force can also be described intuitively as a push or a pull. A force has both magnitude and direction, making it a vector quantity. In this video, the concept of force and torque is demonstrated with the practical application of changing the flat tire of the car.
Students also viewed these Oscillations Mechanical Waves questions
-
Describe all the forces acting on a child riding a horse on a merry-go-round. Which of these forces provides the centripetal acceleration of the child?
-
The forces acting on a 67,000-kg aircraft flying at constant velocity are shown in Fig.9-78. The engine thrust, FT = 5.0 X 105 N, acts on a line 1.6m below the CM. Determine the drag force FD and the...
-
A small sphere with mass m is attached to a mass less rod of length L that is pivoted at the top, forming a simple pendulum. The pendulum is pulled to one side that the rod is at an angle e from the...
-
A construction company is considering taking on a new project. The total project cost is $5 million, and there is a 70% chance that the project will be completed on time and within budget, resulting...
-
Where possible, the inventory costing method should mimic actual product flows. Do you agree? Explain.
-
Refer to Exercise 12. Let Z = X + Y represent the total number of repairs needed. a. Find Z . b. Find Z . c. Find P(Z = 2). Refer to Exercise 12. y 1 2 3 0.13 0.10 0.07 0.03 1 0.12 0.16 0.08 0.04 2...
-
A customer sued a pharmacist and the drug store that employed the pharmacist (Walgreens). The pharmacist reviewed the prescription records of a customer (during her shift at work), learned that the...
-
Industrial Construction Co. wanted to raise money to construct a canning factory in Wisconsin. Various persons promised to subscribe the needed amount, which they agreed to pay when the construction...
-
Write the SOP Boolean expressions for the 7 outputs. [ 3 . 5 marks ]
-
Wayland Custom Woodworking is a firm that manufactures custom cabinets and woodwork for business and residential customers. Students will have the opportunity to establish payroll records and to...
-
The motion of a 0.25-kg mass oscillating on a light spring is described by the curve for System B in Fig. 13.25. (a) Write the equation for the displacement of the mass as a function of time. (b)...
-
The acceleration as a function of time of a massspring system is given by a = (0.60 m/s2) sin[(2 rad/s)t]. If the spring constant is 10 N/m, what are (a) The amplitude, (b) The initial velocity and...
-
In Exercises find the derivative of the function. g(x) = sech 3x
-
To show: If CR and u, v E W, (N), then uv W, (N), and the following holds: D(uv) = (Du)v + u(Dv)
-
Three springs are stretched to various lengths (As) and the corresponding forces are plotted in the graph to the right. What is the correct ranking of the spring constants? A. k3> k> k F sp B. k => k...
-
1) Consider a wave packet for which A(K) = {0 (N, Obtain (x, 0), Ak, Ax and show that Ak^x is independent of k - 2K x 2K elsewhere
-
(a) When opening a door, you push on it perpendicularly with a force of 43.0 N at a distance of 0.520 m from the hinges. What torque (in Nm) are you exerting relative to the hinges? (Enter the...
-
What is the direction (angle (in degrees), measured counterclockwise relative to +x axis) of vector of magnitude Q? Please print your answer with 1 decimal place. P 0 1 1 X
-
Find general solutions of the differential equations in Problems 1 through 30. Primes denote derivatives with respect to x. 2xy + x 2 y' = y 2
-
Fred Farmer needs to prepare a balance sheet for his bank. He spent the day getting the following information. Fred needs your help to build a balance sheet and evaluate it. The information was...
-
The magnetic field associated with an electromagnetic wave has an amplitude of 1.5 T. (a) What is the amplitude of the electric field associated with this wave? (b) What is the intensity of this...
-
What is the electric field amplitude associated with the light from a red laser pointer? Assume a power of 0.10 mW with a wavelength of 600 nm.
-
What is the electric field amplitude at a distance of 0.75 m from a 100-W lightbulb? Assume all the power of the bulb goes into the light of a single color with A = 500 nm and assume the bulb...
-
How do neoliberal economic policies intersect with globalization, and what impact do they have on global trade dynamics and income inequality?
-
Exercise 1. Packets of socks made by Oliver & Hardy company are sold to consumers for $2.49. Retailers ear 27% on the retail selling price. Wholesalers typically earn 25% mark-up on their cost of...
-
On March 31, 20Y9, the balances of the accounts appearing in the ledger of Royal Furnishings Company, a furniture store, are as follows: Accounts Receivable Accumulated Depreciation-Building...
Study smarter with the SolutionInn App