Assignment #2M: 1. A metal cube 300 mm on a side and weighing 1,500 N is lowered into a tank containing a layer of water over a layer of mercury. (1) Determine the position of the block when it has reached equilibrium. (2) Determine the buoyant force contributed by the mercury. (3) Determine the buoyant force contributed by the water.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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#1
SG mercury = 13.6 

Assignment #2M:
1. A metal cube 300 mm on a side and weighing 1,500 N is lowered into a tank containing a layer of
water over a layer of mercury. (1) Determine the position of the block when it has reached
equilibrium. (2) Determine the buoyant force contributed by the mercury. (3) Determine the
buoyant force contributed by the water.
2. An unbalanced vertical force of 320 N downward accelerates a volume of 0.049 cubic meter of
oil (s = 0.82). If the oil is 1.10 m deep in a tank having a square base, (1) what is the acceleration
of the tank? (2) What is the pressure at the bottom of the tank? (3) What is the magnitude of the
force acting on the bottom of the tank?
3. An open cylindrical tank having a diameter of 3 m and height of 5 m is filled with water to a
depth of 3 m. If it is rotated about its vertical axis, (1) determine the maximum angular speed
that the tank should be rotated so that no water will be spilled out of the tank. (2) Determine
the angular speed that the tank should be rotated so that the pressure at the center of the tank
is zero. (3) What angular speed must the tank be rotated so that no water will be at the bottom
of the tank within a radius of 0.5 m?
Transcribed Image Text:Assignment #2M: 1. A metal cube 300 mm on a side and weighing 1,500 N is lowered into a tank containing a layer of water over a layer of mercury. (1) Determine the position of the block when it has reached equilibrium. (2) Determine the buoyant force contributed by the mercury. (3) Determine the buoyant force contributed by the water. 2. An unbalanced vertical force of 320 N downward accelerates a volume of 0.049 cubic meter of oil (s = 0.82). If the oil is 1.10 m deep in a tank having a square base, (1) what is the acceleration of the tank? (2) What is the pressure at the bottom of the tank? (3) What is the magnitude of the force acting on the bottom of the tank? 3. An open cylindrical tank having a diameter of 3 m and height of 5 m is filled with water to a depth of 3 m. If it is rotated about its vertical axis, (1) determine the maximum angular speed that the tank should be rotated so that no water will be spilled out of the tank. (2) Determine the angular speed that the tank should be rotated so that the pressure at the center of the tank is zero. (3) What angular speed must the tank be rotated so that no water will be at the bottom of the tank within a radius of 0.5 m?
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