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Found in: Page 384

### Physics For Scientists & Engineers

Book edition 9th Edition
Author(s) Raymond A. Serway, John W. Jewett
Pages 1624 pages
ISBN 9781133947271

# In the cabin of a ship, a soda can rests in a saucer-shaped indentation in a built-in counter. The can tilts as the ship slowly rolls. In which case is the can most stable against tipping over? (a) It is most stable when it is full. (b) It is most stable when it is half full. (c) It is most stable when it is empty. (d) It is most stable in two of these cases. (e) It is equally stable in all cases.

b) the centre of gravity is only about a fourth of the height of the can above the base.

See the step by step solution

## Step 1: Ship slowly rolling:

Rolling is the rotation of a longitudinal axis, which is comparable to an axis parallel to our previously specified X-axis, caused by wave action. Waves travelling perpendicular to the ship's motion are a common cause of this type of motion.

## Step 2: Stable against tipping over:

a) when it is completely full When the can is full, the centre of gravity is one-half the height of the can above the base.

b) When the can is empty, the centre of gravity is only about a fifth of the height of the can above the base.

c) Only about one-half of the height of the can separates the centre of gravity from the base.

Because in situations a and c, the centre of gravity is only a little more than one-half the height of the can,

In situation b, the centre of gravity is only about a fourth of the height of the can above the base.