A metal seat with mass m1 = 16 kg hangs from one end of a rope that passes over a frictionless pulley attached to the ceiling. A spring scale hangs from the other end of the rope. A girl with mass m2 = 34 kg sitting on the hung seat is pulling the spring scale. The total system is in static equilibrium state. Question:(1) how much does the scale reads(in Newton)? (2). what is the support force of the seat to the girl? (hint 1: write down all the forces exerted on the chair and on the girl separately and demand the net force for each is zero. hint 2: Newton’s third law says that if there is a force exerted on A by B, then there must be another force exerted on B by A with the same magnitude and in opposite direction)

A metal seat with mass m1 = 16 kg hangs from one end of a rope that passes over a frictionless pulley attached to the ceiling. A spring scale hangs from the other end of the rope. A girl with mass m2 = 34 kg sitting on the hung seat is pulling the spring scale. The total system is in static equilibrium state. Question:(1) how much does the scale reads(in Newton)? (2). what is the support force of the seat to the girl? (hint 1: write down all the forces exerted on the chair and on the girl separately and demand the net force for each is zero. hint 2: Newton’s third law says that if there is a force exerted on A by B, then there must be another force exerted on B by A with the same magnitude and in opposite direction)

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 16OQ: A 20.0-kg horizontal plank 4.00 m long rests on two supports, one at the left end and a second 1.00...

See similar textbooks

Similar questions

In the figure, horizontal scaffold 2, with uniform mass m2 = 29 kg and length L2 = 2.3 m, hangs from horizontal scaffold 1, with uniform mass m1 = 54 kg. A 17 kg box of nails lies on scaffold 2, centered at distance d = 0.80 m from the left end. What is the tension T in the cable indicated?
Three concurrent forces have magnitudes of 40, 60, and 50 N, respectively. Determine the smallest angle among them that will produce a state of equilibrium. a. 44.1o b. 4.14o c. 14.4o d. 41.4o
A uniform plank of length 2.00 m and mass 31.5 kg is supported by three ropes, as indicated by the blue vectors in the figure below. Find the tension in each rope when a 715–N person is d = 0.500 m from the left end. magnitude of T1 N magnitude of T2 N magnitude of T3 N
Three masses are hanging vertically as shown in the drawing. Assume the pulleys are frictionless and the system is in static equilibrium. m1= 95.0 g m3= 75.0 g theta2= 40.0 degrees What are the values of m2 and theta1?
Two tension ropes are connected to a wall and subject to forces as shown by the diagram below. Determine if the system is in equilibrium. If not, find the direction of the unbalanced force. a. The system is in equilibrium Not in equilibrium, direction = 36.87° clockwise from the horizontal b. Not in equilibrium, direction = 36.87º counter clockwise from the horizontal c. Not in equilibrium, direction = 53.13º clockwise from the horizontal d. Not in equilibrium, direction = 53.13º counterclockwise from the horizontal
A window washer is standing on a scaffold supported by a vertical rope at each end. The scaffold weighs 202 N and is 2.8 m long. What is the tension in each rope when the 706–N worker stands 1.20 m from one end? SMALLER TENSION= _______N LARGER TENSION= ________N
Using the same force table that you used, a student was given two forces and asked to find a single force that would produce equilibrium with the two forces. The two forces were given by providing one of the components and the angle the force made with the positive x- axis. The two forces were as follows: Force 1: ?? = −2.70 ?; ? = 220.0 degreees Force 2: ?? = 3.20 ?; ? = 60.0 degrees (a) For each force, calculate the magnitude of the force and the mass required to produce it. (b) Calculate the mass and its angle of application to produce equilibrium with these two forces. Please specify your angle as counterclockwise positive with respect to the positive x-axis.
A bag of cement weighing 400 N hangs in equilibrium from three wires. Two of the wires make angles ?1 = 56.0° and ?2 = 36.0° with the horizontal. Assuming the system is in equilibrium, find the tensions T1 and T2
Forces F→1, F→2, and F→3 act on the structure of the figure, shown in an overhead view. We wish to put the structure in equilibrium by applying a fourth force, at a point such as P. The fourth force has vector components F→h and F→v. We are given that a= 1.90 m, b = 3.27 m, c = 1.31 m, F1 = 38.1 N, F2 = 18.9 N, and F3 = 2.05 N. Find (a) magnitude of Fh, (b) magnitude of Fv, and (c) d.
A metal ring of weight 120 N can slide up or down a vertical rod. The ring is attached by a cable to the ceiling (at the angle of 65° with respect to the ceiling) as shown in the figure. Assuming the static friction coefficient of 0.600 between the ring and the rod, find the minimal tension in the cable that will prevent the ring from sliding down the rod and thus keep it in place, a. 128 N b. 114 N c. 103 N d. 96 N e. 91 N
In a tug-of-war game on one campus, 15 students pull on a rope at both ends in an effort to displace the central knot to one side or the other. Two students pull with force 196 N each to the right, four students pull with force 98 N each to the left, five students pull with force 62 N each to the left, three students pull with force 150 N each to the right, and one student pulls with force 250 N to the left. Assuming the positive direction to the right, express the net pull on the knot in terms of the unit vector. How big is the net pull on the knot? In what direction?
Forces F1, F2, and F3 act on the structure depicted in the figure, shown in an overhead view. We wish to put the structure in equilibrium by applying a force, at a point such as P located a distance d from F1, whose vector components are Fh and Fv. We are given that a = 2.1 m, b = 2.6 m, C = 1.15 m, F1 = 18.05 N, F2 = 11.05 N, and F3 = 4.85 N.Find Fh.