A 120-lb cabinet is mounted on casters that can be locked to prevent their rotation. The coefficient of static friction between the floor and each caster is 0.30. If h = 32 in., determine the magnitude of the force P required to move the cabinet to the right (a) if all casters are locked, (b) if the casters at B are locked and the casters at A are free to rotate, (c) if the casters at A are locked and the casters at B are free to rotate.
Fig. P8.136
(a)
Find the magnitude of the force P requires to move the cabinet to the right if all casters are locked.
Answer to Problem 8.136RP
The magnitude of the force P required is
Explanation of Solution
Given information:
The weight of the cabinet is
The coefficient of static friction between the floor and the caster is
The height at which the force P is acting from the bottom is
Calculation:
Show the free-body diagram of the cabinet as in Figure 1.
For tipping;
Find the tipping force P by taking moment about point B.
Find the friction force
Find the friction force
Resolve the vertical component of forces.
Resolve the horizontal component of forces.
Substitute 0.30 for
Here,
Therefore, the magnitude of the force P required is
(b)
Find the magnitude of the force P requires to move the cabinet to the right if the casters at B are locked and at A is free.
Answer to Problem 8.136RP
The magnitude of the required force P is
Explanation of Solution
Given information:
The weight of the cabinet is
The coefficient of static friction between the floor and the caster is
The height at which the force P is acting from the bottom is
Calculation:
Refer to Figure 1;
Find the friction force
Find the friction force
Resolve the horizontal component of forces.
Find the magnitude of the force P by taking moment about point A.
Substitute 0.30 for
Here,
Therefore, the magnitude of the force P required is
(c)
Find the magnitude of the force P requires to move the cabinet to the right if the casters at A are locked and at B is free.
Answer to Problem 8.136RP
The magnitude of the force P required is
Explanation of Solution
Given information:
The weight of the cabinet is
The coefficient of static friction between the floor and the caster is
The height at which the force P is acting from the bottom is
Calculation:
Refer to Figure 1;
Find the friction force
Find the friction force
Resolve the horizontal component of forces.
Find the magnitude of the force P by taking moment about point A.
Substitute 0.30 for
Here,
Therefore, the magnitude of the force P required is
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Chapter 8 Solutions
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