5.0 kg) on a tilted wooden board with an angle of 0 = 30° There is a metal block (m from the horizontal. The block is initially at rest. The coefficient of static friction u, is equal to 0.55 and the coefficient of kinetic friction u is 0.40. %3D a) Draw a free body diagram of the metal block on the figure. Label and write all the forces in unit-vector notation with their magnitude (in variables) on the diagram below. b) Note that £F, = 0, because the block can only move along the board. Calculate the normal force. c) Will the block slide down? Show your calculations to support your answer. d) If your answer is "yes" in (c), then what is the acceleration of the block? (Note that F = ma.) If your answer is "no" in (c), then what is the static friction on the block? %3D
5.0 kg) on a tilted wooden board with an angle of 0 = 30° There is a metal block (m from the horizontal. The block is initially at rest. The coefficient of static friction u, is equal to 0.55 and the coefficient of kinetic friction u is 0.40. %3D a) Draw a free body diagram of the metal block on the figure. Label and write all the forces in unit-vector notation with their magnitude (in variables) on the diagram below. b) Note that £F, = 0, because the block can only move along the board. Calculate the normal force. c) Will the block slide down? Show your calculations to support your answer. d) If your answer is "yes" in (c), then what is the acceleration of the block? (Note that F = ma.) If your answer is "no" in (c), then what is the static friction on the block? %3D
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