**Educational Exercise: Circular Motion and Tension Calculation**In the image, a bead is attached to the end of a string and moves in a horizontal circle with a constant speed of 1.43 m/s. Key parameters are provided: the string's length \( L \) is 185 cm, and the bead's mass is 27.0 g. The angle \( \theta \) from the vertical is 19.0°. Air resistance is negligible.### ObjectiveUse two different approaches to calculate the tension \( T \) in the string.### Graphical ExplanationThe image depicts a bead attached to a string, which is fixed at one end. The bead moves in a horizontal circle, indicating a conical pendulum. The diagram includes:- A vertical line from the fixed point to the bead, labeled \( L \) (the string length).- An angle \( \theta = 19.0^\circ \) shown between the vertical component of the string and the string itself.- A circle indicating the path of the bead’s horizontal motion.### Problem-Solving Steps**(a)** Apply the GFS method to explain each step in solving the problem.**(b)** Create a Free Body Diagram (FBD) for the bead:- Identify and label all external forces acting on it.- Represent each force with an arrow.- Specify the x and y coordinate systems to be used for calculations.**(c)** Write Newton’s Second Law for the x direction:- Simplify using given information.- Solve for tension \( T \), providing answers to two significant figures.**(d)** Write Newton’s Second Law for the y direction:- Simplify using given information.- Solve for tension \( T \) to two significant figures.### Answer ChoicesChoose the correct tension \( T \) from the following options, ensuring consistency between both methods:- 0.28 N- 0.23 N- 0.18 N- 0.31 N- 0.10 N### NoteWe'll collaborate in class to sketch the FBD and apply Newton’s Laws for accurate tension calculations. Be cautious with units and rounding, as precision is crucial for correct results.

Given: Velocity of bead=1.43 m/s length of String=185 cm mass of bead=27 g angle made by the…

Science

Physics

L

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: Find Rx 60 N 30 80 N R2 30°

Q: 2. we S 50° 18m ->E

A: Given, The magnitude of the vector, 18 m direction, 50° S of E

Q: Given i(f) = 4 cos(et +30) A and i(t) = 5 sin(wt -20°) A, find their sum. a. 3,218 cos(wt + 100,2) A…

A: Given data, Current is given, i1=4cosωt+300 A, i2t=5sinωt-200 A.

Q: 5° P 5° The wooden box weighs 274.5 kg. Between all contacting surfaces, μs = 0.32 and µk = 0.30.…

A: According to Newton's second law Net force = Mass×acceleration When acceleration is zero, net force…

Q: 8. Find the vector product of two vectors A| = 50 and B| = 20, with an angle %3D between them is…

A: Vector product is defined as- A*B = |A| |B|sin(theta) A*B = 50*20*sin(45)

Q: Which of the following best represents A R=A+B? B L

A: If two vectors are represented both in magnitude and direction by the two sides of a triangle taken…

Q: R= 2009 ww 2 tılı V= ??? I= 5A 2

Q: dent Name: 24464 A KNX 104 kg block A is released from rest, falls a distance h-0.5 m, and strikes…

A: Given that Mass of the block A =104kg Mass of the plate(B) =3kg Falls a distance of (h) =0.5m The…

Q: Given: PT is tangent to 00 at T; TS 1 PO Complete the following statements. a. TS is the geometric…

A: For a right angled triangle the trigonometric ratios can be given as follows:…

Q: 5. Consider these three vectors: A, B, and C. a. Draw these three vectors as a chain, and find their…

Q: If A - B = 0 and Ã × B = 0 what can we say about Aand B? Select one: O a. None of the other options…

Q: In the figure, which is the angle of incidence? а. D b. A

A: Required : The angle of incidence.

Q: Consider the array of vectors in the figure below. +y +x K H 1. À + B + Č + D + Ē + F + Ĝ +Ĥ = Ï? A.…

A: Here, based on the array of vectors, shown in the figure, we have to answer (1) to (7). Let's see…

Q: 8. A prism of unknown material is in air (n=1.00). Total internal reflection begins (critical angle)…

A: NOTE: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: has a magnitude of 149. Which of the following could not

Q: Which figure correctly shows the absolute value of the electric potential as a function of a distanc…

A: We have to find a graph which shows that electric potential is a function of a distance R, which is…

Q: how did you get L=0.0228

A: The period of oscillation, T=0.30s. We know the acceleration due to gravity on the earth surface is,…

Q: 6ON E gO Nij N GO°W

A: Given : F1 = 60 N î E F2 = 80 N ĵ N 60o W

Q: The barge of starch passes a light house. From the top of the light house 60 m high from sea level,…

A: Height of lighthouse h=60 m Angle of depression θ=15°

Q: The 19-kg uniform rectangular plate is supported by an ideal pivot at O and a spring which must be…

A: Solution:-Given thatmass of the plate (m)=19 kgmodulus of the spring (k)=2.4 kN/m=2.4 ×103 N/mW will…

Q: Analyze the diagram. Ans: Fnet = 2.0 N Ans: Fnet 0N b. Proof this if it is equal to zero. Write your…

Q: 23. What is the gradient of the following graph? Graph of Fn versus fs 30 25 20 15 10 5 Fn (N) 10 15…

Q: ponent of Rin x' and y' axi У ахі

A: Given: The Component of R in x' and y' axis is determined below.

Q: Q. 5 Solve: (x+ 2y). = y. %3D dx

A: This is an example of linear homogeneous differential equation. Using integrating factor we can…

Q: B. Use directional derivative method to find the derivative of the functio f(x, y,z) 3e' cosyz at…

A: Concept used: Directional derivative is rate of change of a function at a given point in particular…

Q: the two forces F= 856 N and P = 1550 N is a vertical force directed upwa %3D ure, find the magnitude…

Q: 1. For E = r sin 0£ +r cos o8 + r sin øo, find V · E and V × E.

Q: Your character starts at position po. Each frame, it moves along the normalized vector at constant…

Q: Given the function y =3xyz2î + 2xy³j-x2yzk Find the curl Vxu a. 3yz'i + 6xy2j - x²yk b. Зyz? + 6ху?-…

Q: N = W = 600N

A: Normal force is a kind of force in which surface gives an external force on object which is in…

Q: state the law and prove it. B.L = Hol

A: Solution: Given that B.L=μ0I to explain the law and prove the equation.

Q: B. Obtain the x and y components x- component 85 N 116° y- component

A: Given:Force,F=3.85 NAngle,θ=116°Find the force x and y component.Now,A) The X-component…

Q: The practice problem is saying it's not correct. I tried typing in 0.00001058 and 0.000001058

Q: For a coin that is dropped at the top of the building, compare the potential energy at the bottom…

A: Under ideal circumstances (no air resistance), the potential energy at the bottom and the kinetic…

Q: 2. R3=200 10V Ry=300 Ry 500 R 200 Rtotal а. b. I1 = A c. I3 = 13= A

Q: Fs s 6 m Fc 3m 2 m

Q: 2. On a dry road, a car with good tires may be able to brake with a constant deceleration of 4.92…

A: Since you have asked the multi-part questions, we can answer the first three parts for you. In case…

Q: 18. Find the range of a canon which fires a shell at 45 m/s at an angle of 45 degrees with the…

A: Given Data Initial speed of the canon is v0=45 m/s Angle with the horizontal is θ=45° Required…

Q: Q/ Prove that the Earth is spherical by physical equations

A: Various theories have been given to prove that the earth has a spherical shape, researchers have…

Q: Q2. Distance between two points P (x = 2, y= -3, z = -1) and Q(p = 4, p =-50, z=2) 3.05 6.78 7.29…

Q: Consider the following circuit with four resistors, an inductor, a battery, and a switch as shown…

A: Since after very long time inductor will behave like a short circuit thus we can remove it from the…

Q: Q. Direction of the principal axes for the cone whose side is a taken about x, y, z axes coinciding…

Question

**Educational Exercise: Circular Motion and Tension Calculation**

In the image, a bead is attached to the end of a string and moves in a horizontal circle with a constant speed of 1.43 m/s. Key parameters are provided: the string's length \( L \) is 185 cm, and the bead's mass is 27.0 g. The angle \( \theta \) from the vertical is 19.0°. Air resistance is negligible.

### Objective
Use two different approaches to calculate the tension \( T \) in the string.

### Graphical Explanation
The image depicts a bead attached to a string, which is fixed at one end. The bead moves in a horizontal circle, indicating a conical pendulum. The diagram includes:
- A vertical line from the fixed point to the bead, labeled \( L \) (the string length).
- An angle \( \theta = 19.0^\circ \) shown between the vertical component of the string and the string itself.
- A circle indicating the path of the bead’s horizontal motion.

### Problem-Solving Steps

**(a)** Apply the GFS method to explain each step in solving the problem.

**(b)** Create a Free Body Diagram (FBD) for the bead:
- Identify and label all external forces acting on it.
- Represent each force with an arrow.
- Specify the x and y coordinate systems to be used for calculations.

**(c)** Write Newton’s Second Law for the x direction:
- Simplify using given information.
- Solve for tension \( T \), providing answers to two significant figures.

**(d)** Write Newton’s Second Law for the y direction:
- Simplify using given information.
- Solve for tension \( T \) to two significant figures.

### Answer Choices
Choose the correct tension \( T \) from the following options, ensuring consistency between both methods:
- 0.28 N
- 0.23 N
- 0.18 N
- 0.31 N
- 0.10 N

### Note
We'll collaborate in class to sketch the FBD and apply Newton’s Laws for accurate tension calculations. Be cautious with units and rounding, as precision is crucial for correct results.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Determine the x-y and n-t components of the 39-kip force F acting on the simply-supported beam. L مایت 27' 17° F = 39 kips 35 15' B
4
If F = {50i -70j -80k} N and AB = 5 m long. Determine z coordinate of point A. F B -y. х A. 4.786 m В. 3.405 m C. 2.979 m D. 3.191 m
FA- 3 KN 3. If Fg = 2 kN and the resultant force acts along the positive u axis, determine the magnitude of the e 30 00 resultant force and the angle 0. 8888
find A.B p A=50, 45) and Ba o (40, co") (40, 60")
5.a Please answer the following with a clear, readable and correct solution.
The resultant of the two forces F = 1190 N and P = 1404 N is a vertical force directed upward. If the angle between F and P is 60°, as shown in the figure, find the measure of angle a in degrees. Round off only on the final answer expressed in 3 Decimal places.
A bex welghis49 N16 pulk d 60mup along 037 ec plane Whats tew.kdone by the weight (gravlrational force) of the box? Select one O D.14x10
Compute for the Tx of m2. n m₂ m₂g Ⓒ = 40.3° A. Tcos40.3 B. Tx^2 + Ty^2 C. Ttan40.3 D. Tsin40.3 T M₁ m₁g
Problem: Vector F1 = 625 N makes an angle of 270° when rotated counterclockwise from the +x axis. Vector F2 = 875 N makes a 120° angle from Vector F1 when rotated counterclockwise. Find the following: 1. What is the value for Rx? A. 700 N B. 757.8 N C. 900 N 2. What is the value for Ry? A. -187.5 N B. 200 N C. +187.5 N 3. What is the direction of the vector needed to balance the two forces? A. 0° B. 186° C. -32° D. 166° E. 270° F. -31° G. -180° Answer all the questions please I'll give rate.
Thank you!