An adventurous archaeologist crosses between two rock cliffs by slowly going hand over hand along a rope stretched between the cliffs. He stops to rest at the middle of the rope. The rope will break if the tension in it exceeds 2.50×104 NN. Our hero’s mass is 90.0 kg. What is the smallest value the angle θ can have if the rope is not to break? Express your answer in degrees

An adventurous archaeologist crosses between two rock cliffs by slowly going hand over hand along a rope stretched between the cliffs. He stops to rest at the middle of the rope. The rope will break if the tension in it exceeds 2.50×104 NN. Our hero’s mass is 90.0 kg. What is the smallest value the angle θ can have if the rope is not to break? Express your answer in degrees

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter9: Dynamics Of A System Of Particles

Section: Chapter Questions

Problem 9.44P

See similar textbooks

Similar questions

For the woman being pulled forward on the toboggan in Figure 4.33, is the magnitude of the normal force exerted by the ground on the toboggan (a) equal to the total weight of the woman plus the toboggan, (b) greater than the total weight, (c) less than the total weight, or (d) possibly greater than or less than the total weight, depending on the size of the weight relative to the tension in the rope?
An aluminum block of mass m1 = 2.00 kg and a copper block of mass m2 = 6.00 kg are connected by a light string over a frictionless pulley. They sit on a steel surface as shown in Figure P5.46, where = 30.0. (a) When they are released from rest, will they start to move? If they do, determine (b) their acceleration and (c) the tension in the string. If they do not move, determine (d) the sum of the magnitudes of the forces of friction acting on the blocks. Figure P5.46
A model airplane of mass 0.3 kg is attachedto a horizontal string and flies in a horizontalcircle of radius 5.9 m, making 1.6 revolutionsevery 4 s. (The weight of the plane is balancedby the upward “lift” force of the air on thewings of the plane.)The accelaration due to the gravity is 9.81m/s2 Find the tension in the string.Answer in units of N.
Logs weighing 1.3 kg and 2.2 kg lie on a flat surface and are connected by a rope that breaks at a force of 20 N. The coefficient of friction between the lighter log and the base is 0.50, and between the heavier log and the base 0.30. With what maximum force can we pull the lighter log so that the string does not break?
A block with mass M is attached to the lower end of a vertical, uniform rope with mass m and length L. A constant upward force F is applied to the top of the rope, causing the rope and block to accelerate upward. Find the tension in the rope at a distance x from the top end of the rope, where x can have any value from 0 to L.
Two packing crates of masses m1 = 10.0 kg and m2 = 4.60 kg are connected by a light string that passes over a frictionless pulley as in the figure below. The 4.60-kg crate lies on a smooth incline of angle 43.0°. Find the following. (a) the acceleration of the 4.60-kg crate (b) the tension in the string
In a television commercial, a small, spherical bead of mass 4.00 g is released from rest at t = 0 in a bottle of liquid shampoo. The terminal speed is observed to be 2.00 cm/s. Find (a) the value of the constant b in the equation v = mg/b (1 − e−bt/m), and (b) the value of the resistive force when the bead reaches terminal speed.
A person pulls at an angle of 0 = 34.0° on three connected crates of masses m¡ = 25.0 kg, m2 = 18.0 kg, and Pull m3 = 15.0 kg over a smooth horizontal floor, as shown in A В the figure. The crates are connected to each other by m, m, m3 identical massless, horizontal strings A and B, each of which can support a maximum tension of 45.0 N before breaking. What is the magnitude F, of the largest pulling force that can be exerted without breaking either of the strings?
A particle, which remains at rest, is acted on by three forces: F, G & H. The force F has a magnitude of 45N and is directed to the left and down making an angle of 45 degrees with the vertical. The force G is directed horizontally right and H is directed to the right and up making an angle of 30 degrees with the vertical. Find the magnitude of the vectors G and H to 1 d.p.
A 2.00 kg aluminum block and a 6.00 kg copper block are connected by a light string over a frictionless pulley. The two blocks are allowed to move on a fixed steel block wedge (of angle θ=30.0∘θ=30.0∘) with the aluminum block on the flat of the wedge and the copper block on the angled part. Determine (a) the acceleration of the two blocks and (b) the tension in the string.
The distance between two telephone poles is d = 54.0 m. When a 1.20 kg bird lands on the telephone wire midway between the poles, the wire sags h = 0.206 m. How much tension (in N) does the bird produce in the wire? Ignore the weight of the wire
A rod of length 59 cm and mass 1.8 kg is suspended by two strings which are 41 cm long, one at each end of the rod. The string on side B is cut. Find the magnitude of the initial acceleration of end B. Find the magnitude of the initial acceleration of the end B when the string is cut.