18 Questions
What is the direction of the external force required to keep the bronze cube in equilibrium?
Upward
What is the number of forces acting on the cube in the vertical direction?
3
Where does the weight of the cube act?
Through its center of gravity
What is the purpose of drawing a free-body diagram?
To visualize the forces acting on the cube
What would happen to the bronze cube if no external force is applied?
It would tend to sink in water
What is the direction of the buoyant force acting on the cube?
Upward
What is the purpose of assuming an upward force in the free-body diagram of the cube?
To hold the cube in equilibrium
How is the weight of the cube calculated?
w = γBV
What is the displaced volume of the cube in the water?
0.123 m3
What is the purpose of solving the equation algebraically for the desired term in Step 4?
To find the external force
What is the specific weight of the water in the problem?
9.81 kN/m3
What is the significance of the positive result in Part a of the solution?
The buoyant force is greater than the weight of the cube
What is the magnitude of the force required to hold the block of bronze in equilibrium under water?
9.63 kN
What is the purpose of drawing a free-body diagram in this problem?
To determine the magnitude and direction of the external force required to hold the cube in equilibrium
What is the difference between the two free-body diagrams shown in Fig. 5.3?
The direction of the external force is different
How can the magnitudes of w and Fb be calculated?
By using the equation of equilibrium
What is the purpose of using two free-body diagrams in this problem?
To demonstrate that the solution is independent of the assumed direction of the external force
What is the weight of the cube in this problem?
Calculated in part (a) of the problem
Solve a problem involving buoyancy and stability, where a cube of bronze is submerged in water and mercury. Determine the force required to hold the block in equilibrium.
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