10_02_Block_Ramp_2_Sol - i Constant speed up or down the...

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Physics 211 10/2 HW Handout Due Friday 10/4 Fall 2002 Block on a Ramp 1) A hand pushes on a 5.0kg block with a force of 30N directed parallel to the ramp. The coefficients of static and kinetic friction are μ s = 0.5 and μ k = 0.4 respectively. The ramp makes an angle of angle 24 ° with the horizontal. a) Draw a FBD of the block showing all the forces acting on the block. At this point you do not know about or F net or the acceleration. b) Find the magnitudes of all the forces (except friction) acting on the block. You will need to separate the Weight force into x and y components. Show your work. c) Find out whether the friction force is the static or kinetic type, and find its magnitude and direction. Show your reasoning. d) Find F net , magnitude and direction. Show your work. e) For each of the following, briefly explain why each one is possible or not possible.
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Unformatted text preview: i) Constant speed up or down the ramp No, not slipping ii) Moving up the ramp and speeding up No, not slipping iii) Moving up the ramp and slowing down No, not slipping iv) Moving down the ramp and speeding up No, not slipping v) Moving down the ramp and slowing down No, not slipping 5.0kg N H,B = 30N 24 ° y x a = ? F net = ? W x W E,B W y N H,B W E,B = mg = 5(10) = 50N N H,B = 30N W x = 50Sin24 ° = 20N N R,B = W y = 46N, 2 nd Law, a y = 0 W y = 50Cos24 ° = 46N N H,B + W x = 10N This is the force we must compare to the max static to see if it moves. f R,B Max = μ s N R,B = 0.5(46) = 23N and 10N is NOT enough force to cause slippage. N R,B No slippage, no a, F net = 0, f R,B = 10N You can now draw this force on the FBD....
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