Problem Solving: Show your Solution 1. A sculpture weighing 10,000 N rests on a horizontal surface at the top of a 6.0-m-tall vertical pillar. The pillar’s cross-sectional area is 0.20 m20.20 m2 and it is made of granite with a mass density of 2700kg/m3.2700kg/m3. Find the compressive stress at the cross-section located 3.0 m below the top of the pillar and the value of the compressive strain of the top 3.0-m segment of the pillar. 2. A 2.0-m-long steel rod has a cross-sectional area of 0.30cm2.0.30cm2. The rod is a part of a vertical support that holds a heavy 550-kg platform that hangs attached to the rod’s lower end. Ignoring the weight of the rod, what is the tensile stress in the rod and the elongation of the rod under the stress? 3. In a hydraulic press, a 250-liter volume of oil is subjected to a 2300-psi pressure increase. If the compressibility of oil is 2.0×10−5/atm,2.0×10−5/atm, find the bulk strain and the absolute decrease in the volume of oil when the press is operating. Note: In a hydraulic press, when a small piston is displaced downward, the pressure in the oil is transmitted throughout the oil to the large piston, causing the large piston to move upward. A small force applied to a small piston causes a large pressing force, which the large piston exerts on an object that is either lifted or squeezed. The device acts as a mechanical lever.
Problem Solving: Show your Solution
1. A sculpture weighing 10,000 N rests on a horizontal surface at the top of a 6.0-m-tall vertical pillar. The pillar’s cross-sectional area is 0.20 m20.20 m2 and it is made of granite with a mass density of 2700kg/m3.2700kg/m3. Find the compressive stress at the cross-section located 3.0 m below the top of the pillar and the value of the compressive strain of the top 3.0-m segment of the pillar.
2. A 2.0-m-long steel rod has a cross-sectional area of 0.30cm2.0.30cm2. The rod is a part of a
vertical support that holds a heavy 550-kg platform that hangs attached to the rod’s lower end.
Ignoring the weight of the rod, what is the tensile stress in the rod and the elongation of the rod
under the stress?
3. In a hydraulic press, a 250-liter volume of oil is subjected to a 2300-psi pressure increase. If the compressibility of oil is 2.0×10−5/atm,2.0×10−5/atm, find the bulk strain and the absolute decrease in the volume of oil when the press is operating.
Note: In a hydraulic press, when a small piston is displaced downward, the pressure in the
oil is transmitted throughout the oil to the large piston, causing the large piston to move upward. A
small force applied to a small piston causes a large pressing force, which the large piston exerts on
an object that is either lifted or squeezed. The device acts as a
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