18. The diagram shows two spheres of mass m suspended from wires of negligible mass. The...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
18. The diagram shows two spheres of mass m suspended from wires of negligible mass. The length between the pivot points and the centres of each sphere is L. The two suspension points lie on a horizontal line and are separated by a distance z. The system is in equilibrium. Take the total acceleration due to gravity to be g. Hint: You may assume that dr << L as well as dr << 1. 22 m Sæ X x m (a) Show that the small deflection dr by which the gravitational force Fg between the spheres will deflect them from the vertical is given by: L LmG 4xg where G is Newton's gravitational constant. Clearly state all assumptions you make and show all your workings. (b) The spheres are now both electrically charged with the same positive charge Q. How big must Q be so that the wires hang vertically again? Hint: The force between two spheres, electrically charged with charges Q₁ and Q2 is given by: FQ=k- 2122 p2 where k is a constant and r is the separation of their centres. [7] [2] 18. The diagram shows two spheres of mass m suspended from wires of negligible mass. The length between the pivot points and the centres of each sphere is L. The two suspension points lie on a horizontal line and are separated by a distance z. The system is in equilibrium. Take the total acceleration due to gravity to be g. Hint: You may assume that dr << L as well as dr << 1. 22 m Sæ X x m (a) Show that the small deflection dr by which the gravitational force Fg between the spheres will deflect them from the vertical is given by: L LmG 4xg where G is Newton's gravitational constant. Clearly state all assumptions you make and show all your workings. (b) The spheres are now both electrically charged with the same positive charge Q. How big must Q be so that the wires hang vertically again? Hint: The force between two spheres, electrically charged with charges Q₁ and Q2 is given by: FQ=k- 2122 p2 where k is a constant and r is the separation of their centres. [7] [2]
Expert Answer:
Answer rating: 100% (QA)
Part a The gravitational force between the two spheres is given by F g Gm 1 m 2 r 2 where G is the g... View the full answer
Related Book For
Fundamentals of Physics
ISBN: 978-0471758013
8th Extended edition
Authors: Jearl Walker, Halliday Resnick
Posted Date:
Students also viewed these physics questions
-
As seen in Figure, two spheres of mass m and a third sphere of mass M form an equilateral triangle, and a fourth sphere of mass m4 is at the center of the triangle. The net gravitational force on...
-
Two crates collected by a rope lie on a horizontal surface (Fig. 5.55). Crate A bas mass mA and crate B bas mass mB' the coefficient of kinetic friction between each crate and the surface is μt....
-
A simple pendulum consists of a bob of mass m suspended by an inextensible (and mass less) string of length l. From the bob of this pendulum is suspended a second, identical pendulum. Consider the...
-
(a) the maximum shear stress magnitude T1 in aluminum tube (1). (b) the maximum shear stress magnitude T2 in brass shaft segment (2). (c) the maximum shear stress magnitude T3 in brass shaft segment...
-
The machine shown is used for forming metal plates. It consists of two toggles ABC and DEF, which are operated by the hydraulic cylinder. The toggles push the moveable bar G forward, pressing the...
-
You have been hired as the new controller for the Ralston Company. Shortly after joining the company in 2018, you discover the following errors related to the 2016 and 2017 financial statements: a....
-
4. Catherine Wagner suffered serious physical injuries in an automobile accident and became acutely depressed as a result. One morning, she received a check for $17,400 in settlement of her claims...
-
Wempe Co. sold $3,000,000, 8%, 10-year bonds on January 1, 2014. The bonds were dated January 1, 2014, and pay interest on January 1. The company uses straight-line amortization on bond premiums and...
-
Week 10 Assignment 2 - Competency in QuickBooks Online Overview You have been hired by Rain Cross Auto Detail to manage their accounting operations. The first thing you will need to do is to create...
-
Given the data in the file Stock Beta.xlsx, estimate the beta (and alpha) for Microsoft (MSFT). Do this for each criterion and each period of time to obtain a table analogous to that in the top right...
-
3 m 1 m B 3 m C 5 m N y A m D 4 m 1 m
-
2. Write a program in Java to take an infix mathematical expression. The expression will contain single- or double-digit numbers, '+',"-", "*", ***, and operators, and parenthesis. First check the...
-
Consider a multiplicative binomial model with N = 3, r = 0, u = 1.2, d = 0.8 and S 0 = 100. At time t = 1 when S 1 = 120 a (european) call option with maturity at T = 3 and struck at 100 is quoted at...
-
Today is December 31, 2019. Mike retired five years ago, on December 31, 2014. Since his retirement, he has been withdrawing $55,000 every year on December 31st. The first withdrawal was made on...
-
Financial statements for Askew Industries for 2024 are shown below (in thousands): 2024 Income Statement Net sales Cost of goods sold. Gross profit Operating expenses Interest expense Income tax...
-
1. How can low-income individuals make housing choices, and how income-inducive housing choices can impact the ability of an individual to engage in wealth creation and inter-generation wealth...
-
If the inflation rate is expected to be 2.2% and treasury bills are currently paying 1.3% the risk free rate will be? a. 2.2% b. 1.3% c. 3.5% d. 9%
-
Ex. (17): the vector field F = x i-zj + yz k is defined over the volume of the cuboid given by 0x a,0 y b, 0zc, enclosing the surface S. Evaluate the surface integral ff, F. ds?
-
String A is stretched between two clamps separated by distance L. String B, with the same linear density and under the same tension as string A, is stretched between two clamps separated by distance...
-
In Figure two semicircular arcs have radii R2 = 7.80 cm and R1 = 3.15 cm, carry current i = 0.281 A, and share the same center of curvature C. What are the (a) Magnitude and (b) Direction (into or...
-
A typical light dimmer used to dim the stage lights in a theater consists of a variable inductor L (whose inductance is adjustable between zero and L max) connected in series with a lightbulb B, as...
-
Determine which of the following are rational numbers: 1. \(\sqrt{73}\) 2. 4.556 3. \(3 \frac{1}{5}\) 4. \(\frac{41}{17}\) 5. \(5 . \overline{64}\)
-
Which of the following are perfect squares? 1. 45 2. 144
-
Correctly apply the rules for order of operations to accurately compute the following: \(4+2 \times\left(3^{2}-(2+5)^{2} \times 4 ight) /(3+8)\).
Study smarter with the SolutionInn App