The physics associated with statics has considerable applications in engineering. As a mechanical engineer working for a tow-truck manufacturer, you have been asked to evaluate the purchase of a new line of towing cable. The supplier claims that,although its cables are not as strong as its competitors (maximum tension capability of 10200 lb), the cost savings make it agood investment.A schematic of the towing configuration is shown. The car weighs 6176 lb, which is as large as the company expects their towtrucks to service. The overall length L of the car is 10.7 ft, and the distance d between the midpoints of the front and back tiresis 9.63 ft. The bottom of the car's frame is a height hf = 0.500 above the ground, and the car's center of mass is a heighthCM = 1.50 above the bottom of the car's frame. The angle ø between the midpoint of the tires and the tow cable is 42.0°.Assume the CM of the car is positioned exactly halfway across its length, the geometry of the wheels and front/rear of the car issymmetrical, and that the coefficient of friction between the road and tires is sufficient to maintain no acceleration in the system.Calculate the tension in the cable just as the front of the car begins to lift off the ground. Assume that the front end rises at aconstant velocity.СМtension:lbBased on your results, what would you advise your company?The cable they are offering is more than adequate. The cost savings make this a worthwhile investment.The cable they are offering is too weak to use. I would decline the purchase.

Thr car is in both rotational equilibrium and translational equilibrium (no acceleration)! Where; m= 6176 Lb L= 10.7 ft d= 9.63 ft ø= 42° Applying rotational equilibrium at point A we get:- Hence T= 4372 Lb. (Ans) The required minimum tention is 4372 Lb. The maximum tention the cable can handle is 10200 Lb. As the maximum tention the cable can handle is way more than the required tention so:- a) The cable they are offering is more than adequate. The cost savings make this a worthwhile investment. (ans)

Science

Physics

Calculate the tension in the cable just as the front of the car begins to lift off the ground. Assume that the front end rises at a constant velocity. СМ d- tension: lb Based on your results, what would you advise your company? The cable they are offering is more than adequate. The cost savings make this a worthwhile investment. The cable they are offering is too weak to use. I would decline the purchase.

Calculate the tension in the cable just as the front of the car begins to lift off the ground. Assume that the front end rises at a constant velocity. СМ d- tension: lb Based on your results, what would you advise your company? The cable they are offering is more than adequate. The cost savings make this a worthwhile investment. The cable they are offering is too weak to use. I would decline the purchase.

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

Similar questions

An object is subjected to three forces as shown in the figure. Assume F1 = 50.0 N and F2 = 95.0 N, what is T if the object is in static equilibrium? Enter a number with three significant digits.
A person whose mass is m = 104.0 kg steps on a mechanical bathroom scale placed on an inclined plane that makes the angle a = 33.7° with the horizontal. What is the reading on the scale? reading: kg
A block resting on a plane inclined at an angle 0 32° from the horizontal is being held in place by steel cables a, b, and cas shown in the figure below. The tension in cable bis 80.0 N. Note that cable ais parallel to the surface of the incline and that cable bis perfectly horizontal. 42° с b a) Create an FBD around point D and determine the tension in wire aand wire C. b) Create an FBD around the block and determine the normal force and the force due to gravity F. c) What is the mass of the block in kilograms?
Given the diagram shown with a ramp angle of 20° and Masses m1 and m2. If m1 = 4 times m2. What is the minimum coefficient of static friction required between m1 and the ramp for equilibrium?
A bridge of length 21 m and mass 30000 kg is supported at each end. A truck of mass 20000 kg is located 15 m from the left end. A B 15 m - 21 m What is the force on the bridge at the left point of support? The acceleration of gravity is 9.8 m/s?.
If the values for frictional force are given: 8.83, 9.81, 11.77, 12.76 and 14.72 and for normal:16.68, 19.62, 22.56, 25.51 and 28.45 respectively. 1. Plot a graph for frictional force versus normal force. Be sure to label both x and y axes with the correct scale and units. 2. Draw a line of best fit for the curve.
Consider two geometrically identical marbles stacked in a container as shown. The radius of each of the marbles is R. while the width of the container is 2.9R. The marble at the top has a weight 0.78 N while the weight of the lower marble has a weight of 0.82 N. What is the magnitude of the normal force at point B? Express your answer in Newtons and with two decimal places. C А В
A setup similar to the one shown in the figure below is often used in hospitals to support and apply a horizontal traction force to an injured leg. (Let m = 5.25 kg and 8 = 75.0°.) (a) Determine the force of tension in the rope supporting the leg. N (b) What is the traction force exerted to the right on the leg? Additional Materials еВook
A 5N picture frame is supported by two strings that run from its upper corners to a nail on the wall. What is the tension on each string if each string makes an angle of 30° with the horizontal? * О 2.9 N O 5 N О 3.2 N 4.2 N
A rope is strung between two walls parallel to the floor. A 35kg mass is hung from the rope at its midpoint. This causes the rope to sag by 12°. Find the tension in the rope. Image is what I have so far... I'm stuck!! Please let me know what I'm doing wrong
The steel I-beam in the drawing has a weight of 7.74 x 10³ N and is being lifted at a constant velocity. What is the tension in each cable attached to its ends? 70.0⁰ 70.0⁰ I-beam
What is the horizontal component of the force F that the wall exerts on the plank? Q 1900 N O −1100 N O1400 N O −3600 N