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Physics4ASampleExam2 - b Show that F r is perpendicular to...

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1 PARTIAL CREDIT will be given so do what you can and make sure that you show all work for each problem. No credit will be given if no work is shown . The point value of each question is indicated. 1. A uniform rope of length L and mass M is held on a frictionless table by a force F. One fourth of its length ( ¼ L) is hanging over the edge. Find the work required to pull the hanging part back onto the table. 2. A 5.00 kg block is placed on top a 10.0 kg block as shown below. A horizontal force of 45.0 N is applied to the 10.0 kg block, and the 5.00 kg block is tied to the wall. The coefficient of kinetic friction between all surfaces is 0.20. a) Draw a free-body diagram for each block. b) Determine the tension in the string and the acceleration of the 10.0 kg block. 3. A force in the xy plane is given by ) ˆ ˆ ( j x i y r F F o = r where F o is a constant and 2 2 y x r + = . a) Find the magnitude of the force.
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Unformatted text preview: b) Show that F r is perpendicular to j y i x r ˆ ˆ + = r . c) Find the work done by this force on a particle that moves once around a circle of radius 5 m centered at the origin. d) Explain if the force is conservative or not. 10.0 kg 5.0kg 2 4. A block slides on the frictionless loop-the-loop track shown below. Find the minimum height H at which it can be released from rest and still make it around the loop. 5. A small block of mass ‘m’ is placed inside an inverted cone that is rotating about a vertical axis such that the time for one revolution of the cone is ‘T’. The walls of the cone make an angle β with the vertical. The coefficient of static friction between the block and the cone is μ s . If the block is to remain at a constant height ‘h’ above the apex of the cone, what the minimum and maximum values of T? β h...
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Physics4ASampleExam2 - b Show that F r is perpendicular to...

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