30. Given a strong chain and a convenient tree, could you pull your car out of a ditch in the following way? Fasten the chain to the car and to the tree. Pull with a force F at the center of the chain as shown in the figure. From mechanics, we have F = 2T sin 0, or T = F/(2 sin 0), where T is the tension in the chain, that is, the force exerted on the car. Tree Car 20 ft T (a) Find T as x times a series of powers of x. -1 (b) Find T as 0- times a series of powers of 0.

30. Given a strong chain and a convenient tree, could you pull your car out of a ditch in the following way? Fasten the chain to the car and to the tree. Pull with a force F at the center of the chain as shown in the figure. From mechanics, we have F = 2T sin 0, or T = F/(2 sin 0), where T is the tension in the chain, that is, the force exerted on the car. Tree Car 20 ft T (a) Find T as x times a series of powers of x. -1 (b) Find T as 0- times a series of powers of 0.

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

Multiple part question: A worker in a factory slides a heavy box up a ramp into a truck. The box has a mass of 84 kg, and the ramp is 3 m long and makes an angle of 34° with the horizontal. The coefficient of friction between the box and ramp is 0.6. What is the weight of the box? What is the normal force acting on the box? What is the force of friction acting on the box? Assuming the worker pushes the box up the ramp with a constant velocity, how much work does the factory worker do on the box in order to get it into the truck? How much gravitational potential energy does the box have once it reaches the top of the ramp?
Finish the solution of the problem. Find the tension T in the rope.
1. In the system shown in the figure, m₁ = 18.3 kg, m₂ = 38.2 kg, a = 48.2°, and the coefficient of kinetic friction between the block with mass m₁ and the inclined surface is uk. What coefficient of friction is needed for the hanging block to drop 9.45 m in the first 2.50 s after the system is released from rest? (Hint: it is accelerating downward, so don't treat it like it is moving at a constant speed.) m₁ α m₂
Two masses, m, = 2.16 kg and m, = 9.71 kg are on a horizontal frictionless surface and they are connected together with a rope as shown in the figure. The rope will snap if the tension in it exceeds 50.0 N. What is the maximum value of the force F which can be applied? Submit Answer Tries 0/10 What is the acceleration of the whole system, when this maximum force is applied? 4.212m/s 2 Submit Answer Incorrect. Tries 1/10 Previous Tries
5. Three nondescript boxes are hung from a rope and pulley system. The masses are: M1 = 6 kg, M2 = 3 kg. M3 = 4 kg. Assuming the pulley and ropes are perfect (no mass or friction), we will find the three tensions. a) Let's start by making four free body diagrams: one for each mass and one for the entire system represented as one big mass.
4. A 75 kg person is riding in a Ferris wheel (whích rotates vertically) that has a radius of 12.5 meters and it traveling at a constant speed of 7.5 m/s. a) Find the # of revolutions the ferris wheel makes per hour. b) Find the maximum and minimum forces the person experiences.
2. Newtonian Dynamics: A 3.0kg weight W is initially at rest on incline AB, which is raised 40° above the horizontal. The effective coefficient is u=0.3. Through frictionless pulley and strings of negligible mass, a small mass P, 400g, is at rest on a 200g weighting pan. Draw a free body diagram representing the situation, and use it to determine the acceleration of the system. Use the value of acceleration calculated to determine the relative weight of P in pounds.
2. Imagine you are trying to move a very heavy box, and it does not move. Then, you get a friend to help you push and it begins to slide. Explain, in terms of the quantities discussed in this investigation (Fk, тах Hs,Fk9 Hk) what is happening to the box in these two cases.
A mass of 2.0 kg is suspended from the ceiling of an elevator by a rope. What is the tension in the rope when the elevator (i) accelerates upward at 1.5 m/s2 ? (ii) accelerates downward at 1.5 m/s2 ? a. (i) 22.6 N; (ii) 16.6 N b. Because the mass is hanging from the elevator itself, the tension in the rope will not change in either case. c. (i) 22.6 N; (ii) 19.6 N d. (i) 16.6 N; (ii) 19.6 N
نغمة الرنین Two masses m,=5 Kg and m2=5 Kg are connected with string and pulled with a force F=26 N that makes an angle 0 =53° with a smooth horizontal surface as shown in the figure. Find the tension in the string (Newton). m2 A. 3.912 B. 15.65 C. 7.823 D. 11.06 E. None II >
Two masses m1=5 Kg and m2=12 Kg are connected with string and pulled with a force F=25 N that makes an angle of 53° with a smooth horizontal surface as shown in the figure. Find the tension in the string in a unit of Newton. F A. 6.258 B. 8.85 m2 m1 0 C. 2213 D. None E. 4.425
The distance between two telephone poles is 44.0 m. When a 1.00-kg bird lands on the telephone wire midway between the poles, the wire sags 0.180 m. Draw a free-body diagram of the bird. How much tension does the bird produce in the wire? Ignore the weight of the wire.