Forces in physics are often represented by vectors. Vectors give a magnitude (strength) and a direction. For a system to be in equilibrium, the sum of all force vectors equals zero. That means that there are no forces that are moving the object.Consider Figure 1.15°WT₂10⁰°• How can you use vectors to the tension of the ropes holding up the trapeze artist?• How can you use the law of sines and cosines to find the tension of the ropes?• In electrical engineering, do you think there is any worth using vectors to study circuits? Why or why not?

To answer this question, first we nees to understand what is vector. A vector is a physical quantity…

13 • How can you use vectors to the tension of the ropes holding up the trapeze artist? • How can you use the law of sines and cosines to find the tension of the ropes? • In electrical engineering, do you think there is any worth using vectors to study circuits? Why or why not?

13 • How can you use vectors to the tension of the ropes holding up the trapeze artist? • How can you use the law of sines and cosines to find the tension of the ropes? • In electrical engineering, do you think there is any worth using vectors to study circuits? Why or why not?

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: 2/34 An overhead view of a door is shown. If the com- pressive force F acting in the coupler arm of…

Q: In the figure below, a wheel of radius 0.15 m is mounted on a frictionless horizontal axle. A…

Q: Dynamics of rigid bodies 2) If cylinder A is given an initial downward speed of v = 2 m/s determine…

Q: A coin is placed 9.5 cm from the axis of a rotating turntable of variable speed. When the speed of…

A: As shown in the figure, coin is placed at the edge of the table which isturning at an angular speed…

Q: b.) Your friend Bob proposes that you can do this calculation more easily. He condenses the entire…

Q: • If it takes 0.6 seconds for the record to spin up to its maximum speed from rest, what is the…

Q: Part A IP Force to Hold a Baseball A person holds a 1.42-N baseball in his hand, a distance of 34.0…

A: Weight of the baseball=1.42N Distance(2L)=34cm Distance of the bicep(d)=0.0275m Upward…

Q: A 76 g, 40-cm-long rod hangs vertically on a frictionless, horizontal axle passing through its…

Q: An experimental device imparts a force of magnitude F = 55 lb to the front edge of the rim at A to…

Q: A bucket is connected to a rope wound around a solid cylindrical axle as shown. • Draw free body…

Q: is applied pe bent bar. Dete

A: Solution :The moment of P about B is TB =P (BC) = -30N (1.6m)∴TB = -48 Nm

Q: y dz dz dz d3 di Part C - Moment of Inertia of a Composite shape with a Hole about the x axis For…

A: Given d1 = 330 mmd2 = 140 mmd3 = 120 mmr = 110 mm Find the Moment of Inertia of a Composite shape…

Q: Constants I Periodic Table A student sitting on a frictionless rotating stool has rotational inertia…

A: (A) Write the expression for rotational velocity using conservation of angular momentum.

Q: Solve the moment of inertia with respect to x=3 of the area bounded by the curves, x+y%3D3, ×3D0 and…

Q: •• P34 A sphere or cylinder of mass M, radius R, and moment of inertia I rolls without slipping down…

Q: Compute the moment of force F = 350 kg and force P = 190 kg about points A, B, C, and D for the…

Q: Determine the resultant of the four forces and one couple, resultant moment and the location of the…

A: Given Determine the resultant of the four forces and one couple, the resultant moment, and the…

Q: Two identical discs are spinning on a vertical rod, at different rotation rates. The bottom disc is…

A: Given; Angular rotation rate of top disc = 8500 rev/s Angular rotation rate of bottom disc = 4700…

Q: •4 Express the following angles in radians: (a) 20.0°, (b) 50.0°, (c) 100°. Convert the following…

A: Given data: Angle given in degrees Required: Need to convert into radians

Q: • Determine the resultant moment about point A of the system. Each square is 1 ft on a side. 100 lb…

Q: Problem 12: A merry-go-round is a playground ride that consists of a large disk mounted to that it…

A: To solve the given question, we will write down the moment of inertia of the merry-go-round…

Q: • A small space telescope at the end of a tether line of length L moves at linear speed v about a…

A: Part A The relation between angular momentum and linear momentum The angular momentum is conserved…

Q: You are given a cylinder, a ring and a sphere with the same mass and radii a,b,c respectively. Which…

A: To determine Which object is having least amount of inertia

Q: Consider ACB as two segments (AC & CB) and each have a weight of 16 lb. If part DE is suddenly…

Q: 29 A 30 kg child rides on a playground merry-go-round, 1.4 m from the center. The merry-go-round…

Q: 1) If the ball in the diagram in the figure makes a complete turn around pin P, determine the value…

A: By conservation of energy we can apply firstly with the pendulum of length L and then the small…

Q: A hollow, thin-walled sphere of mass 11.0 kg and diameter 47.0 cm is rotating about an axle through…

Q: Hello, can you help me with this question?

Q: Modelling hint: There are 3 moving bodies in this system. You need to use a free body diagram for…

A: Let's consider that the elevator is going up with the acceleration a. The free-body diagram is shown…

Q: motor you motion system application driven by a l have the followings • Total inertia felt at the…

Q: (1 0 3 • Inertial tensor a body in the Cartesian coordinate system is equal to ÎI = I2 2 1). If the…

A: K =12(PRINCIPAL MPMENT OF INERTIA)ω2K =12(1+4+4)Iω2=129Iω2

Q: 37. B SSM MMH Multiple-Concept Example 10 offers useful background for problems like this. A…

Q: 1) a = 0 C=O 44) J Find the moment of inertia about the y-axis for the two wires shown in the…

A: Mass of both cables = m

Q: A force is exerted on a point in a body (not shown).j Calculate the torque due to the force, and…

Q: Multiple-Concept Example 7 deals with the concepts that are important in this problem. A penny is…

Q: DO NOT INCLUDE NEGATIVE SIGNS IN YOUR ANSWERS • Calculate the magnitude and direction of resultant…

Q: If person A and C sit at the ends of a 7.0m seesaw, determine how far person B needs to sit from…

Q: What does FLsinθ mean/represents in bending moment diagram for the moment (M) of the force (F)…

A: Option c

Q: The figure shows two blocks hanging from the ends of a uniform rod of mass M. The rod rests on the…

A: First, evaluate the rod’s total length (L) as the sum of L1 and L2, and hence, evaluate the distance…

Q: (1 0 3 • Inertial tensor a body in the Cartesian coordinate system is equal to ÎI = I| 2 2 1). If…

A: Given, II~=I103221312andω→=ωi^+j^+k^

Q: 84. •Medical In a laboratory test of tolerance for high angular acceleration, pilots were swung in a…

A: Given data: The diameter of the given circle ( d ) is = 13.4 m The angular velocity of pilots is =…

Q: The massive pully has moment of inertia I = 1/2MR2. Calculate the downward acceleration of the…

Q: Discuss how human factors have shaped the design of the television remote control and identify its…

A: The human factors that have helped in shaping the design of television remote control are 1) This…

Q: P=250KN K 20.5 16 IN 20 WHA hosi 25.24 3.50 Do the static Force Analysis Find the EF if any. and the…

A: In figure since the rigid link is in static equilibrium with a fixed support, the net force and net…

Concept explainers

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

Question

Forces in physics are often represented by vectors. Vectors give a magnitude (strength) and a direction. For a system to be in equilibrium, the sum of all force vectors equals zero. That means that there are no forces that are moving the object.
Consider Figure 1.
15°
W
T₂
10⁰°
• How can you use vectors to the tension of the ropes holding up the trapeze artist?
• How can you use the law of sines and cosines to find the tension of the ropes?
• In electrical engineering, do you think there is any worth using vectors to study circuits? Why or why not?

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

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Angular speed, acceleration and displacement

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

I need help, please
Two identical discs are spinning on a vertical rod, at different rotation rates. The bottom disc is on a support, and the top disc is sliding down to hit the bottom one. Once they hit, they rotate together as a single object. Calculate the rotation rate just after the collision, in rev/s. • Bottom rotation rate: 5900 rev/s • Top rotation rate: 8000 rev/s • Mass 310 grams • Radius 21 cm
Physics Angular Motion
Find its angular acceleration. Let the direction the sphere is spinning be the positive sense of rotation. How long will it take to decrease its rotational speed by 24.0 rad/s?
The ice cream cone shown below can be approximated as follows: • Scoop on top uniform solid sphere (M1 = 0.027 kg and R1 = 0.03 m) waffle cone base= cylinder (M2 = 0.038 kg and R2 0.01 m), which is uniform and solid also (it's filled with ice cream!) %3D 1. R, 1 R, M, If this entire ice cream cone were to be rotated about the axis shown, Rotational Inertia: a.) What would the the rotational inertia (I) of: Scoop on top: I1 kg-m2 cone base: I2 kg-m2 the whole ice cream cone: Itot kg-m2
A strap, rod, or something comparable is used to spin up the disc. I imagine someone hand-starting a lawnmower. If he pulls the strap with a final speed before pulling the strap away, what is the rotation rate of the disk, w in rev/s? The moment of inertia of a disc is 1/2MR?. There's no sliding. Strap's final speed = V = 0.88 m/s. • The disc's radius is R = 0.7 m The small disc's radius is 2 cm • The disc's mass is M = 2.7 kg
Hello, can you help me with this question?
You are holding a 25kg dumbbell in your hand and your elbow is flexed 90° so that your forearm is parallel to the floor i) If the moment arm of this dumbbell is 20cm about the elbow joint axis, what moment is created by this dumbbell about your elbow joint axis? What formula did you use to answer this part of the question? ii) If the moment arm of the elbow flexor muscles is 1.1 cm what force must they pull with to hold the dumbbell in the position? In this calculation what does the net torque equal?
7
Hello, can you help me with this question?
Drop-load (I) Context We want to lower a suspended load in a controlled way so that it hits the ground with a speed whose modulus is not too great. To do this, the suspended load (B) is connected by a rope passing through a pulley to another mass (A), which can move on a horizontal surface. Information The masses of the charges A and B are known.The pulley is a ring of mass mp and radius R that can rotate without friction.The surface on which mass A is placed is horizontal.There is no friction between mass A and the surface on which it is placed.The string attached to mass A is perfectly parallel to the surface on which the mass is resting. SchematizationDraw a diagram of each object that interests us. Draw your x- and y-axes for each object. Draw and name each force experienced by each object that interests us. Modelization Creates a model for the acceleration of mass B given the known parameters of the problem that are relevant. Then test your model with the following values Mass of…
• A data CD takes 3 [seconds] to reach its operating rotational speed of 5400 [rpm] (revolutions per minute). What is the CD's average acceleration while it is getting up to speed? A) 190 [rad/s²] 1,700 [rad/s²] B) C) 16,200 [rad/s²] D) Don't know Who uses CD's anymore? E)