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HW 8 Solutions

# If we assume the crate slips we can set up equations

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Unformatted text preview: slips, we can set up Equations of Motion that include the friction force. ∑ ∑ () ∑ ( ) ∑ ( ) From ∑ : ( Plug into ∑ ) ( ) : ( ) ( ) ( ( ( ) ) ) Plug a back into moment equation to solve for x. () { () { () [{ [ } } { } { { } } } { [ [ } ( Since x<0.3m then the crate will not tip, the crate will slip. ( ) ) { } Supplemental Question (1) Given: Find: ( ) Solution: The reaction force at A due to the moment applied is in the tangential direction and because the sum of the moments about C is equal to zero we obtain the following: We now look at the sum of the forces in the tangential direction: ∑ ( )( ) In order to look at the sum of the forces in the normal direction, we need to know the acceleration in the normal direction. We need to determine the angular velocity at the given angle to find the normal acceleration: ∫( ∫ ) ( ) ( ) Alpha at this angle: Now we can find the normal acceleration: Now we can look at the sum of the moments about A to determine the force of B: ( ∑ ( ) ) ( ( ) ) ( ( ) ) ( ) ( ) ( ) ( ) 88 Symbollic) Studio)...
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