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HW 8 Solutions

# HW 8 Solutions - HW 8 Solutions 17.4 Given Find Moment of...

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HW 8 Solutions 17.4) Given: Find: Moment of inertia of the semiellipsoid with respect to the x axis and express in terms of m. Solution: We know the moment of inertia with respect to the x axis is: Where Need to determine V in terms of x and y:. Using disk method for integration: Where r is the height at any point y, so V becomes Now use the given formula, to put V in terms of only x: ( ) | ( ) So, Where ( ) Now we apply dm into out dI equation,

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( ) ( ) { ( )} Now we can integrate over x to find Ix: ∫ ( ) ∫ ( ) [ ] Then we divide by
17.20) Given: Find: I about an axis perpendicular to the page and passing through O

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17.41) Given: Find: Solution: Assume ( ) ( ) ( ) ( ) ( )( ) ( )( ) ( )( ) ( ) ( ) ( ) ( ) ( )
17.42) The uniform crate has a mass m and rests on the care having an inclined surface. Determine the smallest acceleration that will cause the crate either to tip or slip relative to the cart. What is the magnitude of this acceleration? The coefficient of static friction between the crate and the cart is . If we assume the crate slips, we can set up Equations of Motion that

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HW 8 Solutions - HW 8 Solutions 17.4 Given Find Moment of...

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