Question 23 of 25 The figure shows a uniform, horizontal beam (length = 10 m, mass= 25 kg) that is pivoted at the wall, with its far end supported by a cable that makes an angle of 51° with the horizontal. If a person (mass = 50 kg) stands 3 m from the pivot, what is the tension in the cable? 3047 -100m-

Question 23 of 25 The figure shows a uniform, horizontal beam (length = 10 m, mass= 25 kg) that is pivoted at the wall, with its far end supported by a cable that makes an angle of 51° with the horizontal. If a person (mass = 50 kg) stands 3 m from the pivot, what is the tension in the cable? 3047 -100m-

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 31PQ: 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...

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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 20.0-kg horizontal plank 4.00 in long rests on two supports, one at the left end and a second 1.00 m from the right end. What is the magnitude of the force exerted on the plank by the support near the right end? (a) 32.0 N (b) 45.2 N (c) 112 N (d) 131 N (e) 98.2 N
The forearm shown below is positioned at an angle with respect to the upper arm , and a 5.0- kg mass is held in the hand. The total mass of the forearm and hand is 3.0 kg, and their center of mass is 15.0 cm from the elbow. (a) What is the magnitude of the force that the biceps muscle exerts on the forearm for =60 ? (b) What is the magnitude of the force on the elbow joint for the same angle? (c) How do these forces depend on the angle ?
In the What If? section of Example 12.2, let d represent the distance in meters between the person and the hinge at the left end of the beam. (a) Show that the cable tension is given by T = 93.9d + 125, with T in newtons. (b) Show that the direction angle of the hinge force is described by tan=(323d+41)tan53.0 (c) Show that the magnitude of the hinge force is given by R=8.82103d29.65104d+4.96105 (d) Describe how the changes in T, , and R as d increases differ from one another.
A uniform horizontal strut weighs 400.0 N. One end of the strut is attached to a hinged support the wall and the other end of the strut is attached to a sign that weighs 200.0 N The strut is also supported by a cable attached between the end of the strut and the wall. Assuming that the entire weight of the sign is attached at the very end of the s find the tension in the cable and the force at the hinge of the strut.
2. A scaffold of mass 60 kg and length 5.0 m is supported in a horizontal position by a vertical cable at each end. A window washer of mass 80 kg stands at a point 1.5 m from one end. What is the tension in (a) the nearer cable and (b) the farther cable? llu on o lnifo edge at the 50.0 cm mark With two
(22) The figure shows a uniform, horizontal beam (length = 10 m, mass = 25 kg) that is pivoted at the wall, with its far end supported by a cable that makes an angle of 51° with the horizontal. If a person (mass = 60 kg) stands 3.0 m from the pivot, what is the tension in the cable? SEOSES C. d. -3.0m- a. 0.83 kN b. 0.30 kN 0.38 kN 0.42 kN e. 3.0 kN -100 m- 51⁰
8₁ 02 9. The diagram of the leg shows the femur (1) and tibia (2). The quadriceps muscle (3) applies a force to the lower leg via a tendon (4) that is embedded with the kneecap (5). If the force applied by the muscle to the tendon is F 570 N, what is the force of the femur on the kneecap, if the leg is in equilibrium? A simplified model of the leg is shown next to the diagram. The leg bones are represented by two beams attached by a pin. The tendon is modelled by a rope and the kneecap acts like a pulley. The tendon above the kneecap makes an angle 8, = 38° with respect to the vertical, and the portion of the tendon below the kneecap makes an angle of 6₂ = 10° with respect to the vertical. Enter the x component, followed by the y component. Answer 1 of 2: Answer 2 of 2: Submit All Answers
A 6.0 m plank with a mass of 50 kg is supported on both ends. An 80 kg worker stands on the plank 1.5 m away from the left end. What weight must each end of the plank support? Separate your answers by a comma (i.e. 340 N, 567 N - the first answer for the left end, the second answer for the right end). Express your answer as a whole number (no decimal). Add the appropriate units.
1) A 3 m long light (massless) board is supported at each end by cables. A painter weighing 900N stands 1m from the left cable. Calculate the tension in each cable.2)A 10m beam of mass of 300 kg extends over a ledge. The beam is not held down but simply rest on the surface. A 60 kg student has positioned the beam so that he can walk to the end of it. How far far the edge of the ledge can the beam extend?3) A ladder whose length is 10 m and whose mass is 40 kg rests against a frictionless vertical wall. Its upper end is a distance of 7.7m above the ground. The center of mass of the ladder is 1/3 of the way up the ladder. The coefficient of static friction between the ladder and the ground is 0.53. If a carpenter climbs 85% of the way up the ladder before it starts to slip, find the mass of the carpenter.4) A springboard diver of weight 582N stands at one end of a uniform 4.48 m diving board of weight 142N. The board is attached to two pedestals, one at the other end of the board…
A uniform 34.5-kg beam of length e = 4.20 m is supported by a vertical rope located d = 1.20 m from its left end as in the figure below. The right end of the beam is supported by a vertical %3D column. -l- (i (a) Find the tension in the rope. (b) Find the force that the column exerts on the right end of the beam. (Enter the magnitude.)
Solve Equation (1) for R (in N) and substitute numerical values: R = Finalize The positive value for the angle 0 indicates that our estimate of the direction of R was accurate. Had we selected some other axis for the torque equation, the solution might differ in the details ---Select-- . For example, had we chosen an axis through the center of gravity of the beam, the torque equation would involve both T and R. This equation, coupled with Equations (1) and (2), however, could still be solved for the unknowns. Try it! EXERCISE A person with weight 900 N stands d = 4.00 m away from the wall on a f = 6.00 m beam, as shown in this figure. The weight of the beam is 2,000 N. Define upward as the positive y-direction and to the right as the positive x-direction. 30° d Hint (a) Find the tension (in N) in the wire. (b) Find the horizontal component of the hinge force (in N). (Indicate the direction with the sign of your answer.) (c) Find the vertical component in (N). (Indicate the direction…