To solve this, we will follow the free body diagram method. a. Draw a labeled free body diagram showing the forces acting on the book and draw an arrow labeled "Ma" to the right of the "="sign indicating the direction of the acceleration. b. Write out Newton's 24 law in the x and y directions using the forces on the free body diagram (use the labels, don't sub in numbers). Write "0" on the RHS if a, or a, are zero. EF, = ma, EF, = ma, c. Use your y equation to solve for the normal force the table exerts on the book. Give both symbolic solution and numerical value. P₁ = 45 N P₁ = 25 N M = 3 kg e. What is the acceleration of the book? Give symbolic answer and numerical value. M = 0.7 0 +y +x d. How large is the kinetic friction force the table exerts on the book? Give symbolic answer and numerical value.

Principles of Physics: A Calculus-Based Text
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Chapter5: More Applications Of Newton’s Laws
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Activity 2.6 - Introduction to Friction
KINETIC (SLIDING) FRICTION EXPERIMENT 1: Lay a heavy book flat on a table. Push lightly down on the book
with one hand and move it horizontally with the other hand. You probably found there was not too much
resistance to the motion. Repeat the experiment but this time push down hard on the book and move it with your
other hand. This time there is much more resistance to the motion.
The force that resists this motion is the kinetic friction force. The kinetic friction force occurs whenever two
surfaces slide against each other. It is parallel to the sliding surface and opposite the direction of the relative
sliding. How hard you push down has an effect because the friction force is proportional to how hard the surfaces
press against each other, ie, the normal force:
fe = H₂ FN
Here, is the coefficient of kinetic friction and depends on the surfaces involved. Note that has no units.
Lets' analyze this experiment. A book of M = 3 kg is on a flat table. You push downward with a force of P, = 25 N
and horizontally with a force of P₂ = 45 N. The book starts sliding to the right. The coefficient of kinetic friction
between the table and the book is μ = 0.7.
To solve this, we will follow the free body diagram method.
a. Draw a labeled free body diagram showing the forces acting
on the book and draw an arrow labeled "Ma" to the right of
the "="sign indicating the direction of the acceleration.
b. Write out Newton's 24 law in the x and y directions using the
forces on the free body diagram (use the labels, don't sub in
numbers). Write "0" on the RHS if a, or a, are zero.
EF, = ma,
EF, = ma,
c. Use your y equation to solve for the normal force the table
exerts on the book. Give both symbolic solution and
numerical value.
P₂ = 45 N
P₁ = 25 N
M = 3 kg
e. What is the acceleration of the book? Give symbolic answer and numerical value.
Ax = 0.7
0
+y
ட, +x
11
d. How large is the kinetic friction force the table exerts on the book? Give symbolic answer and numerical value.
Transcribed Image Text:Activity 2.6 - Introduction to Friction KINETIC (SLIDING) FRICTION EXPERIMENT 1: Lay a heavy book flat on a table. Push lightly down on the book with one hand and move it horizontally with the other hand. You probably found there was not too much resistance to the motion. Repeat the experiment but this time push down hard on the book and move it with your other hand. This time there is much more resistance to the motion. The force that resists this motion is the kinetic friction force. The kinetic friction force occurs whenever two surfaces slide against each other. It is parallel to the sliding surface and opposite the direction of the relative sliding. How hard you push down has an effect because the friction force is proportional to how hard the surfaces press against each other, ie, the normal force: fe = H₂ FN Here, is the coefficient of kinetic friction and depends on the surfaces involved. Note that has no units. Lets' analyze this experiment. A book of M = 3 kg is on a flat table. You push downward with a force of P, = 25 N and horizontally with a force of P₂ = 45 N. The book starts sliding to the right. The coefficient of kinetic friction between the table and the book is μ = 0.7. To solve this, we will follow the free body diagram method. a. Draw a labeled free body diagram showing the forces acting on the book and draw an arrow labeled "Ma" to the right of the "="sign indicating the direction of the acceleration. b. Write out Newton's 24 law in the x and y directions using the forces on the free body diagram (use the labels, don't sub in numbers). Write "0" on the RHS if a, or a, are zero. EF, = ma, EF, = ma, c. Use your y equation to solve for the normal force the table exerts on the book. Give both symbolic solution and numerical value. P₂ = 45 N P₁ = 25 N M = 3 kg e. What is the acceleration of the book? Give symbolic answer and numerical value. Ax = 0.7 0 +y ட, +x 11 d. How large is the kinetic friction force the table exerts on the book? Give symbolic answer and numerical value.
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