Explanation Given data: Refer to the Figure P8.4 in the textbook for the walking of a man on the beam. Mass of the man ( m M ) is 70 kg. Mass of the beam ( m B ) is 10 kg. Formula used: Write the expression for static equilibrium condition of the force as follows. ∑ F = 0 (1) Here, ∑ F is the sum of the forces acting on any object. Write the expression for weight of the object as follows. w = m g (2) Here, m is the mass of the object, and g is the acceleration due to gravity, which is 9.8 m s 2 . Explanation: From the given data, it is clear that, the left support does not exert any upward force on the beam when the beam just starts to tip. From equation (1), the sum of the forces acts on the beam when it just starts to tip is zero. The following are the forces act on the beam when it just starts to tip. The force exerted by the right support in the upward direction, and The combined weight of the person and the beam in the downward direction. Modify the expression in equation (1) for the forces when the beam just starts to tip as follows. F right + [ − ( w M + w B ) ] = 0 (3) Here, F right is the forces exerted by the right support in the upward direction, w M is the weight of the man, and w B is the weight of the beam. Calculation of weight of the man: Substitute 70 kg for m , and 9.8 m s 2 for g in equation (2), w M = ( 70 kg ) ( 9

3rd Edition

ISBN: 9780321989246

Author: Knight

Publisher: PEARSON CO

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Center of Gravity of a system

The centre of gravity is a property that is based on the geometry of a rigid body or any particle. It is described as an equilibrium point or a hypothetical location where the total weight of the body is concentrated.

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Chapter 8, Problem 4P

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To find: The force exerted on the beam by the right support when the beam just starts to tip.

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Chapter 8, Problem 3P

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Chapter 8 Solutions

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The force exerted on the beam by the right support when the beam just starts to tip.

Solution Summary: The author explains that the left support does not exert any upward force on the beam when it just starts to tip.

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To find: The force exerted on the beam by the right support when the beam just starts to tip.

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Chapter 8 Solutions