In the figure, an aluminum wire, of length L₁ = 513 cm, cross-sectional area 5.00x102 cm², and density 2.60 g/cm³, is joined to a steel wire of density 7.80 g/cm³ and the same cross-sectional area. The compound wire, loaded with a block of mass m = 7.20 kg, is arranged so that the distance from the joint to the supporting pulley is L₂ = 118 cm. Transverse waves are set up on the wire by an external source of variable frequency; a node is located at the pulley.

In the figure, an aluminum wire, of length L₁ = 513 cm, cross-sectional area 5.00x102 cm², and density 2.60 g/cm³, is joined to a steel wire of density 7.80 g/cm³ and the same cross-sectional area. The compound wire, loaded with a block of mass m = 7.20 kg, is arranged so that the distance from the joint to the supporting pulley is L₂ = 118 cm. Transverse waves are set up on the wire by an external source of variable frequency; a node is located at the pulley.

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 81PQ: A horizontal, rigid bar of negligible weight is fixed against a vertical wall at one end and...

See similar textbooks

Similar questions

A uniform wire (Y = 2.0 1011 N/m2) is subjected to a longitudinal tensile stress of 4.0 107 N/m2. What is the fractional change in the length of the wire?
Why is the following situation impossible? A worker in a factory pulls a cabinet across the floor using a rope as shown in Figure P12.36a. The rope make an angle = 37.0 with the floor and is tied h1 = 10.0 cm from the bottom of the cabinet. The uniform rectangular cabinet has height = 100 cm and width w = 60.0 cm, and it weighs 400 N. The cabinet slides with constant speed when a force F = 300 N is applied through the rope. The worker tires of walking backward. He fastens the rope to a point on the cabinet h2 = 65.0 cm off the floor and lays the rope over his shoulder so that he can walk forward and pull as shown in Figure P12.36b. In this way, the rope again makes an angle of = 37.0 with the horizontal and again has a tension of 300 N. Using this technique, the worker is able to slide the cabinet over a long distance on the floor without tiring. Figure P12.36 Problems 36 and 44.
A bridge of length 50.0 m and mass 8.00 104 kg is supported on a smooth pier at each end as shown in Figure P12.25. A truck of mass 3.00 104 kg is located 15.0 m from one end. What are the forces on the bridge at the points of support? Figure P12.25
A wooden door 2.1 m high and 0.90 m wide is hung by two hinges 1.8 m apart. The lower hinge is 15 cm above the bottom of the door. The center of mass of the door is at its geometric center, and the weight of the door is 260 N, which is supported equally by both hinges. Find the horizontal force exerted by each hinge on the door.
A brass wire and a steel wire, both of the same length, are extended by 1.0 mm under the same force. Is the cross-sectional radius of the brass wire more, less, or equal to the cross-sectional radius of the steel wire? Explain. Youngs moduli for brass and steel are 1.0 1010 N/m2 and 2.0 1011 N/m2, respectively.
A horizontal, rigid bar of negligible weight is fixed against a vertical wall at one end and supported by a vertical string at the other end. The bar has a length of 50.0 cm and is used to support a hanging block of weight 400.0 N from a point 30.0 cm from the wall as shown in Figure P14.81. The string is made from a material with a tensile strength of 1.2 108 N/m2. Determine the largest diameter of the string for which it would still break. FIGURE P14.81
A door has a height of 2.1 m along a y axis that extends vertically upward and a width of 0.91 m along an x axis that extends outward from the hinged edge of the door.A hinge 0.30 m from the top and a hinge 0.30 m from the bottom each support half the door’s mass, which is 27 kg. In unit-vector notation, what are the forces on the door at (a) the top hinge and (b) the bottom hinge?
A uniform plank of wood has a mass of 19.5kg and a length of 2.0m. A person holds the plank using both hands. The first hand exerts a downward force, F⃗ , at an end of the plank. The second hand exerts an upward force, F⃗ 2, at a distance of 50.0cm from the same end of the plank. What is the magnitude, in newtons, of the force F⃗ 2 What is the magnitude, in newtons, of the force F⃗ 1?
A door has a height of 2.5 m along a y axis that extends vertically upward and a width of 1.12 m along an x axis that extends outward from the hinged edge of the door. A hinge 0.30 m from the top and a hinge 0.30 m from the bottom each support half the door's mass, which is 30 kg. In unit-vector notation, what are the forces on the door at (a) the top hinge and (b) the bottom hinge? (a) Number (b) Number i+ i Units Units
A door has a height of 2.1 m along a y axis that extends vertically upward and a width of 1.08 m along an x axis that extends outward from the hinged edge of the door. A hinge 0.21 m from the top and a hinge 0.21 m from the bottom each support half the door's mass, which is 19 kg. In unit-vector notation, what are the forces on the door at (a) the top hinge and (b) the bottom hinge? (a) Number j Units (b) Number j Units
The human mandible (lower jaw) is attached to the temporomandibular joint (TMJ). The masseter muscle is responsible for pulling the mandible upward when you are talking or eating. It is attached at a horizontal distance of about 2.60 cm from the TMJ. The horizontal distance from the TMJ to your incisors is 6.60 cm. If the masseter muscle exerts a force of 208 N on your mandible when you bite into an apple at a constant rate, then what is the magnitude of the force exerted by your incisors on your food, assuming that both forces are vertical?
A steel wire of length 1.40 m and diameter 1.00 mm is joined to an aluminum wire of identical dimensions to make a composite wire of length 2.80 m. What is the resulting change in length AL of this composite wire if an object with a mass of 5.00 kg is hung vertically from one of its ends? (Neglect any effect the masses of two wires have on the changes in their lengths.) AL = 1.751 Incorrect mm