A yo-yo of mass M = 0.135 kg and outer radius R that is 3.75 times qgreater than the radius of its axle r is in equilibrium if a mass m is suspended from its outer edge as shown in the figure below. Determine the tension in the two strings, T, and T, and the mass m. T, = T = N N kg m =

A yo-yo of mass M = 0.135 kg and outer radius R that is 3.75 times qgreater than the radius of its axle r is in equilibrium if a mass m is suspended from its outer edge as shown in the figure below. Determine the tension in the two strings, T, and T, and the mass m. T, = T = N N kg m =

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter14: Static Equilibrium, Elasticity, And Fracture

Section: Chapter Questions

Problem 84PQ

See similar textbooks

Related questions

Q: A uniform 1200 N piece of medical apparatus that is 3.5 m long is suspended horizontally by two…

Q: Two forces with equal magnitude F-Fr-8.00N are applied to a steel rod with the distance between the…

Q: F2 F1 0.180 m A square metal plate 0.180 m on each side is pivoted about an axis through point O at…

Q: A uniform rod weighs 40 N and is 1.0 m long. It is hinged to a wall at the left end, and held in a…

Q: A vault is opened by applying a force of 300 N perpendicular to the plane of the door, 0.80 m from…

Q: uniform beams A andBare attached to a wall with hinges and loosely bolted together (there is no…

Q: A 870.3 N painter needs to climb d=4.98 m up a ladder (measured along its length from the point…

A: Given values: Painter's weight wP = 870.3 N distance covered by painter d = 4.98 m ladder's length…

Q: A square metal plate 0.180 m on each side is pivoted about an axis through point Oat its center and…

Q: Three forces are applied to a wheel of radius 0.350 mm, as shown in the figure (Figure 1). One force…

A: Given,

Q: A uniform, 255-N rod that is 2.00 m long carries a 225-N weight at its right end and an unknown…

Q: An aluminum rod is suspended by two wires, as shown in the figure below. The mass of the rod is 25.0…

Q: The length of a bicycle pedal arm is 0.139 m, and a downward force of 148 N is applied to the pedal…

A: Given Length of the pedal is l=0.139 m Applied force is F=148 N Angle of the arm of the pivot with…

Q: A light triangular plate OAB is in a horizontal plane. Three forces,F1 =10 N, F2 = 6.1 N, and F3 =…

A: The sum of the torque (net torque) is -0.32 N.m

Q: A 900 N man, 165 cm tall lies on a center of gravity reaction board with his feet at the left end.…

A: Given-Weight of man BW =900 NHeight of man BH =165 cmLength of reaction board L=206 cmWeight of…

Q: A mechanic is screwing a bolt and applies a force ?⃗ of magnitude 12.0 N to the end of the wrench.…

A: The torque τ be defined as, τ→=r→×F→r→=rFsinθ Where, r is distance. F is force.

Q: Two forces and act along the two sides of an equilateral triangle as shown in Figure. Point O is the…

Q: A pole is attached to a wall with a hinge as shown. A sign is suspended at the other end of a pole,…

A: given:D2=2.70 mα=22.0D1=1.40 mtotal torque due to pole and sign τ = 575 Nm

Q: A weight of 6 N is located 11 cm from the fulcrum on the beam of a simple balance. What weight…

A: Weight located on one of the side of the fulcrum (W1)=6 N Distance of weight from the fulcrum…

Q: Fw mg AFiy Frx e f.x Axis The ladder in the picture has a mass of 39 kilograms and a length 3…

A: As per guideline we are suppose to do only 3 subpart from multipart question please post the rest of…

Q: A museum of modern art is displaying an irregular 426-N sculpture by hanging it from two thin…

Q: A horizontal beam (ignore its mass) has a pivot at a point that is off-center, so that length l1 is…

A: Given data : m1=628 kg m2=400 kg

Q: 2 m P 45° 60° 6 m F

A: F1 = 20 N F2 = 25 N θ1 = 45oθ2 = 60o

Q: A rectangular brass bar of mass M has dimensions a, b, c as shown in the figure below. The moment of…

A: M=135.0±0.1a =80±1 b =10±1 c =20.00±0.01 Moment of inertia is given as, I =M(a^2+b^2)/12

Q: a force acts on an A-truss as shown. Determine the value of the individual torques and the total…

Q: 1. A rod is fastened to a wall on the left by a frictionless pivot point as shown in the figure to…

Q: 6.3. The angle of twist for a shaft subjected to twisting torque can be expressed by the following…

A: Bartleby's guidelines allowing answer only the first question.

Q: Two children of mass 16 kg and 37 kg sit balanced on a seesaw with the pivot point located at the…

A: Let the distance of the smaller child from the pivot point be denoted as x. The corresponding…

Q: metal rod of mass M = 6 kg and length L = 0.5 m, is attached at one end by a hinge to a vertical…

Q: he plate, which is pivoted about vertical axes through point O. In the figure, F2 is perpendicular…

A: Analyze the free body diagram of the given system. Note: Consider the clockwise-direction to be…

Q: Solve for the quantities asked by the given problem. Write legibly and please avoid erasures 1. The…

Q: If the beam in the figure below is in equilibrium (A is a pin and B is a roller), determine the…

A: At point A reaction force will develop in horizontal and vertical direction whereas at B in vertical…

Q: 2.0 m 1.0 m 4.0 kg 1.0 kg d

A: Mass of first object (M) = 1 kg Mass of second object (m)= 4 kg Length of first object = 2 m Center…

Q: In the following mechanism, T1 torque and F1 force act on the AB link. Equilibrium condition SCD…

A: Given : Force, F1 = 20 N Torque, T1 = 14 Nm Angle, θ

Q: A person with a mass 55.0 kg stands d = 1.90 m away from the wall on a x = 5.70 m beam, as shown in…

A: First draw the FBD of the rod and resolve the tension in X and Y direction and also take the…

Q: A 100 – g uniform meterstick is hanged on a 40 cm mark, you try to achieve balance by placing a 100…

Q: The diagram above represents an object held in static equilibrium by three cables. If F1 = 460…

A: Solution; Given that F1 = 460 N F2 = 580 N

Q: You place a 15 kg brick 0.5 m to the left of the fulcrum. Where on the right side would you place a…

A: Given data: Mass on left side (m1) = 15 kg Distance from fulcrum (r1) = 0.5 m Mass on right side…

Q: Forces are applied on the beam as shown on the figure at right: a. Find the torque about point P…

Q: Determine the torque applied to the pipe in the figure given, by a force F = 45 N with an angle…

A: Given data: Force (F) = 45 N Angle (θ) = 60° Distance (r) = d = 50 cm = 0.50 m Required: Torque (τ)

Q: Two forces F, and F, act along the two sides of an equilateral triangle as shown in Figure Pl1.5.…

A: (a) The net torque about point O is zero. The perpendicular distance from the center of an…

Q: uniform rod has a mass of 2.97 kg and has a length of 1.58 m. It is hinged to a wall by a pivot at…

Q: A beam resting on two pivots has a length of L = 6.00 m and mass M = 87.0 kg. The pivot under the…

A: (f) -0.14 Nm

Q: A uniform rod weighs 40 N and is 1.0 m long. It is hinged to a wall at the left end, and held in a…

Concept explainers

Rotational Equilibrium And Rotational Dynamics

In physics, the state of balance between the forces and the dynamics of motion is called the equilibrium state. The balance between various forces acting on a system in a rotational motion is called rotational equilibrium or rotational dynamics.

Equilibrium of Forces

The tension created on one body during push or pull is known as force.

Question

A yo-yo of mass M = 0.135 kg and outer radius R that is 3.75 times qgreater than the radius of its axle r is in equilibrium if a mass m is suspended from its outer edge as shown in the figure below. Determine the tension in the two strings, T, and T, and the mass m.
T, =
T =
N
N
kg
m =

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

Step 5

Step 6

Trending now

This is a popular solution!

Step by step

Solved in 6 steps with 7 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

A stepladder of negligible weight is constructed as shown in Figure P12.40, with AC = BC = = 4.00 m. A painter of mass m = 70.0 kg stands on the ladder d = 3.00 m from the bottom. Assuming the floor is frictionless, find (a) the tension in the horizontal bar DE connecting the two halves of the ladder, (b) the normal forces at A and B, and (c) the components of the reaction force at the single hinge C that the left half of the ladder exerts on the right half. Suggestion: Treat the ladder as a single object, but also treat each half of the ladder separately. Figure P12.40 Problems 40 and 41.
A disk with a radius of 4.5 m has a 100-N force applied to its outer edge at two different angles (Fig. P12.55). The disk has arotational inertia of 165 kg m2. a. What is the magnitude of the torque applied to the disk incase 1? b. What is the magnitude of the torque applied to the disk incase 2? c. Assuming the force on the disk is constant in each case,what is the magnitude of the angular acceleration applied tothe disk in each case? d. Which case is a more effective way of spinning the disk?Describe which quantity you are using to determine effectiveness and why you chose that quantity. FIGURE P12.55
A stepladder of negligible weight is constructed as shown in Figure P10.73, with AC = BC = ℓ. A painter of mass m stands on the ladder a distance d from the bottom. Assuming the floor is frictionless, find (a) the tension in the horizontal bar DE connecting the two halves of the ladder, (b) the normal forces at A and B, and (c) the components of the reaction force at the single hinge C that the left half of the ladder exerts on the right half. Suggestion: Treat the ladder as a single object, but also treat each half of the ladder separately. Figure P10.73 Problems 73 and 74.
A uniform beam resting on two pivots has a length L = 6.00 m and mass M = 90.0 kg. The pivot under the left end exerts a normal force n1 on the beam, and the second pivot located a distance = 4.00 m from the left end exerts a normal force n2. A woman of mass m = 55.0 kg steps onto the left end of the beam and begins walking to the right as in Figure P10.28. The goal is to find the womans position when the beam begins to tip. (a) What is the appropriate analysis model for the beam before it begins to tip? (b) Sketch a force diagram for the beam, labeling the gravitational and normal forces acting on the beam and placing the woman a distance x to the right of the first pivot, which is the origin. (c) Where is the woman when the normal force n1 is the greatest? (d) What is n1 when the beam is about to tip? (e) Use Equation 10.27 to find the value of n2 when the beam is about to tip. (f) Using the result of part (d) and Equation 10.28, with torques computed around the second pivot, find the womans position x when the beam is about to tip. (g) Check the answer to part (e) by computing torques around the first pivot point. Figure P10.28
Find the net torque on the wheel in Figure P10.23 about the axle through O, taking a = 10.0 cm and b = 25.0 cm. Figure P10.23
Why is the following situation impossible? A uniform beam of mass mk = 3.00 kg and length = 1.00 m supports blocks with masses m1 = 5.00 kg and m2 = 15.0 kg at two positions as shown in Figure P12.2. The beam rests on two triangular blocks, with point P a distance d = 0.300 m to the right of the center of gravity of the beam. The position of the object of mass m2 is adjusted along the length of the beam until the normal force on the beam at O is zero. Figure P12.2
John is pushing his daughter Rachel in a wheelbarrow when it is stopped by a brick 8.00 cm high (Fig. P12.15). The handles make an angle of = 15.0 with the ground. Due to the weight of Rachel and the wheelbarrow, a downward force of 400 N is exerted at the center of the wheel, which has a radius of 20.0 cm. (a) What force must John apply along the handles to just start the wheel over the brick? (b) What is the force (magnitude and direction) that the brick exerts on the wheel just as the wheel begins to lift over the brick? In both parts, assume the brick remains fixed and does not slide along the ground. Also assume the force applied by John is directed exactly toward the center of the wheel.
A square plate with sides 2.0 m in length can rotatearound an axle passingthrough its center of mass(CM) and perpendicular toits surface (Fig. P12.53). There are four forces acting on the plate at differentpoints. The rotational inertia of the plate is 24 kg m2. Use the values given in the figure to answer the following questions. a. Whatis the net torque acting onthe plate? b. What is theangular acceleration of the plate? FIGURE P12.53 Problems 53 and 54.
A rod 7.0 in long is pivoted at a point 2.0 m from the left end. A downward force of 50 N acts at the left end, and a downward force of 200 N acts at the right end. At what distance to the right of the pivot can a third force of 300 N acting upward be placed to produce rotational equilibrium? Sole: Neglect the weight of the rod. (a) 1.0 m (b) 2.0 m (c) 3.0 m (d) 4.0 m (e) 3.5 m
A uniform rod of mass and length is held vertically by two strings of negligible mass, as shown below. (a) Immediately after the string is cut, what is the linear acceleration of the free end of the stick? (b) Of the middle of the stick?
Review. A spool of wire of mass M and radius R is unwound under a constant force F (Fig. P10.42). Assuming the spool is a uniform, solid cylinder that doesnt slip, show that (a) the acceleration of the center of mass is 4F/3M and (b) the force of friction is to the right and equal in magnitude to F/3. (c) If the cylinder starts from rest and rolls without slipping, what is the speed of its center of mass after it has rolled through a distance d?
A rigid vertical rod of mass 75 kg and length 4.0 m is connected to the floor by a bolt through its lower end A. The rod also has a wire connected between its top end B and the floor as shown in the figure. A horizontal force F = 500 N is applied at the midpoint of the rod. What is the tension in the wire?