Homework-5-calm-Sol

Homework-5-calm-Sol - HW5 6-2 . A child goes down a...

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HW5 6-2 2. A child goes down a playground slide with an acceleration of a=105 2 .. m/ s Find the coefficient of kinetic friction between the child and the slide if the slide is inclined at an angle of 35.0° below the horizontal. Sol 6-2 Choose the x -axis along the direction of motion, separate forces into components, and apply the 2 nd Law along the x -axis. k sin x F Wf m a θ =− = k sin cos mg mg ma μθ −= ( ) 2 2 m s k m s 1.05 tan tan35.0 0.570 cos 9.81 cos35.0 a g = ° = ° 6-8 •• To move a large crate across a rough floor, you push down on it at an angle of θ =21° . Given that the mass of the crate is 32 kg, find the acceleration of the crate if the applied force is 330 N and the coefficient of kinetic friction is 0.45. sol 6-8 k k cos ( sin ) x FN m a F mg F ma μ θμ −+ = 2 k k 2 330 N m (330 N)(0.45) cos sin cos21 0.45 9.81 sin 21 3.5 m/s 32kg s F F ag mm ⎛⎞ = ° ° = ⎜⎟ ⎝⎠ 6-18 18. A M=50.0 kg person takes a nap in a backyard hammock. Both ropes supporting the hammock are at an angle of 15.0° above the horizontal. Find the tension in the ropes. Sol 6-18 20 yy FT m g = ( ) 2 m s 2s i n 2sin (50.0 kg) 9.81 2sin15.0 948 N Tm g mg T = = = ° = 6-31 31. BIO
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This note was uploaded on 07/02/2011 for the course PHYS 201 taught by Professor Woodahl during the Fall '09 term at Indiana.

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Homework-5-calm-Sol - HW5 6-2 . A child goes down a...

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