Concept explainers
(a)
The magnitude of the force
(a)
Answer to Problem 20P
Explanation of Solution
Given:
Length of the board,
Mass of the board,
The angle between the board and the horizontal surface,
Mass of the block rests on the board,
Distance between the block and the hinge =
Formula used:
Applying rotational equilibrium condition to the board, that is
Calculation:
In figure 1,
FIGURE: 1
Substituting the numerical values in equation
Conclusion:
The magnitude of the force
(b)
The force exerted by the hinge.
(b)
Answer to Problem 20P
Explanation of Solution
Given:
Length of the board,
Mass of the board,
The angle between the board and the horizontal surface,
Mass of the block rests on the board,
Distance between the block and the hinge =
Formula used:
Applying
Calculation:
Substituting the numerical values in equation
Conclusion:
The force exerted by the hinge is
(c)
The magnitude of the force
(c)
Answer to Problem 20P
The magnitude of the force
The magnitude of the force exerted by the hinge
Explanation of Solution
Given:
Length of the board,
Mass of the board,
The angle between the board and the horizontal surface,
Mass of the block rests on the board,
Distance between the block and the hinge =
Formula used:
Applying rotational equilibrium condition to the board, that is
Applying
Applying
Dividing equation
Calculation:
FIGURE: 2
Substituting the numerical values in equation
Substituting numerical values in equation
Now substituting the numerical values in equation
Conclusion:
The magnitude of the force
The magnitude of the force exerted by the hinge
Want to see more full solutions like this?
Chapter 12 Solutions
Physics for Scientists and Engineers
- In Example 14.3, we found that one of the steel cables supporting an airplane at the Udvar-Hazy Center was under a tension of 9.30 103 N. Assume the cable has a diameter of 2.30 era and an initial length of 8.00 m before the plane is suspended on the cable. How much longer is the cable when the plane is suspended on it?arrow_forwardThe figure shows three boards clamped together. The center board weighs 93.5 N, and the coefficient of static friction between the boards is 0.490. What is the minimum magnitude of the horizontal compression forces (in N) acting on either side of the center board so it does not slip?arrow_forwardTwo ladders, 4.00 m and 3.00 m long, are hinged at point A and tied together by a horizontal rope 0.90 m above the floor. The ladders weigh 480 N and 360 N, respectively, and the center of gravity of each is at its center. Assume that the floor is freshly waxed and frictionless. (a) Find the upward force at the bottom of each ladder. (b) Find the tension in the rope. (c) Find the magnitude of the force one ladder exerts on the other at point A. (d) If an 800-N painter stands at point A, find the tension in the horizontal rope.arrow_forward
- A non-uniform rod of length 1.00 m is hung horizontally, supported by strings on bothends. If the center of gravity of the rod is 0.200 m from the left end, what is themagnitude of the tension applied by the string on the right end of the rod? A. 50% of the weight of the rod B. Cannot be determined unless the weight of the rod is given C. 80% of the weight of the rod D.20% of the weight of the rodarrow_forwardA 183.6 kg uniform, horizontal beam is hinged at one end and at the other is supported by a cable that is at 28 degrees to the vertical. The beam is 2.75 m long. Calculate the magnitude of the force (in N) at the hinge .arrow_forwardThe column is built up by gluing the two identical boards together. If the wood has an allowable normal stress of σallowσallowx = 5.6 MPaMPa , determine the maximum allowable eccentric force PP that can be applied to the column.arrow_forward
- A uniform ladder of length L, rests against a smooth, vertical wall. If the mass of the ladder is m and the coefficient of static friction between the ladder and the groundis μs = 0.40, find the minimum angle θmin at the ladder does not slip?arrow_forwarda horizontal rod (m=5.2 kg) is hinged to a wall at the left end and three forces are acting on the rod as shown in the figure: the force of gravity (mg), a tension force (T), and the force exerted by the hinge (broken into components Fx and Fy) If theta = 35 degrees, what must T be equal to in order to keep the rod static?arrow_forwardA horizontal plank 4.00 m long and having mass 20.0 kg rests on two pivots, one at the left end and a second 1.00 m from the right end. Find the magnitude of the force exerted on the plank by the second pivot.arrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University