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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Transcribed Image Text: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 ux is 0.40.
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
%3D
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:
If your answer is "no" in (c), then what is the static
friction on the block?
та.)
%3D
Transcribed Image Text:A horizontal (F = 12N) force pushes a block weighing (F, = 5.0N) against a vertical
wall. The coefficient of static friction between the wall and the block is ug = 0.60, and
the coefficient of kinetic friction is µk
initially.
%3D
= 0.40. Assume that the block is not moving
a) Draw a free body diagram of the block in the
figure.
b) What is the normal force (in unit vector notation)
on the block from the wall?
c) Will the block move? Please give your reason with
calculation.
d) In unit-vector notation, what is the force on the
block from the wall?
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