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3. A uniform ladder of length L = 5.00 m rests against a smooth, vertical wall. The mass of the ladder is mladder = 12.0

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3. A uniform ladder of length L = 5.00 m rests against a smooth, vertical wall. The mass of the ladder is mladder = 12.0 kg, and the coefficient of static friction between the ladder and the ground is u = 0.400. a. Calculate the minimum angle 9min at which the ladder does not slip. b. Suppose the ladder is placed at an angle of 60.0. To what distance D along the ladder can a person of mass mperson = 60.0 kg climb without the ladder slipping? En . a . nFI WE MN 27: 0 In nig Fwil sin ( 8 ) + mg . 2 sin ( 8 ) ) = 0 the minimum and angle omin is 89.810 b. F Fut w- = mg b ) EY = 0 FW. 2 . Sin (0) - 24. mg. sin(B )= 0. FW . 5. Sin ( 60) - = (5) . 12(9.8). Sin (60) = 0.F (in a) 4. What minimum horizontal force F is needed to pull a wheel of radius R and mass M over a step of height h (R M > h) as shown in the figure. ? (a) Assume the force is applied at the top edge as shown. - F (in b) (b) Assume the force is applied at the wheel's center. a ) Imvitz tw= mgay "I zw = ist EFV

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