Final Summer 2018, Version B Complete 5 of the 6 Problems Student Name: 17.07.20

Question

Final Summer 2018, Version B Complete 5 of the 6 Problems Student Name: 17.07.2018 02:48 PM 5. Chapter 09, Problem 28 a strap attached to the bottom of the A man drags a 78-kg crate across the floor at a constant velocity by pulling crate. The crate is tiited 25 above the horizontal, a gravity of the crate coincides with its tension in the strap. on and the strap is indlined 61 above the horizontal. The center of geomentrical center, as indicated in the figure. Find the magnitude of the 0.90 m 0.40m

Explanation / Answer

Here the crate is in equilibrium in x direction.

angle made by diagonal with its base, theta = tan^-1(0.45/0.2)

= 24 degrees

so, net Force and net torque acting on the crate must be zero.

Apply net torque about left edge = 0

T*0.9*sin(61) - m*g*sqrt(0.2^2 + 0.45^2)*sin(90 - 24 - 25) = 0

T*0.9*sin(61) - 78*9.8*sqrt(0.2^2 + 0.45^2)*sin(90 - 24 - 25) = 0

T = 78*9.8*sqrt(0.2^2 + 0.45^2)*sin(90 - 24 - 25)/(0.9*sin(61))

= 314 N <<<<<<<<--------------------Answer

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