3. A trunk of mass M is on a ramp. A rope pulls on the trunk horizontally as shown but the trunk does not move. a. In the box provided, draw a labeled 'free body diagram" (FBD) showing all the forces acting on the trunk. All the forces in the diagram should have descriptive labels giving the name of the force, for example, "Tor "F" for the tension. Do not label the weight as "g" - this is the acceleration due to gravity and is not a force. Label the weight as "F" "W", or "Mg". Newton's 3" law says that all forces come in action-reaction pairs, i.e., if object A exerts a force on B, object B must exert the same force on A but in the opposite direction. Note that action-reaction pairs always must be the of force FED

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Chapter5: Displacement And Force In Two Dimensions
Section: Chapter Questions
Problem 103A
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Tension: The force with which a string or rope pulls on an object is called the tension. This force always pulls along the direction
of the string.
Kinetic (Sliding) Friction: This force acts when two surfaces slide against each other. The force along the surface and is
opposite the direction of relative sliding.
Static Friction: This force may act when two surfaces are in contact without sliding relative to each other. The force is along the
surface and has the direction and magnitude needed to keep the surfaces from sliding against each other. It is often difficult to
determine the direction of this force.
Free Body Diagrams
To apply Newton's 2 law, you must correctly identify all the forces without overlooking any or adding any forces that
do not act directly on the object. To do so, we will draw a "free body diagram" (FBD) which represent each outside force
acting on an object by a labeled arrow. The labels represent the magnitude of the force, for example, "F" for the
normal force.
2. A tennis ball of mass M is moving as shown after it has been struck
by a racquet. Draw the free body diagram showing the forces acting
on the ball. Assume air friction is negligible.
3. A trunk of mass Mis on a ramp. A rope pulls on the trunk horizontally as
shown but the trunk does not move.
a. In the box provided, draw a labeled "free body diagram" (FBD) showing
all the forces acting on the trunk. All the forces in the diagram should
have descriptive labels giving the name of the force, for example, "Tor
"F" for the tension. Do not label the weight as "g" - this is the
acceleration due to gravity and is not a force. Label the weight as "F",
"W", or "Mg".
Newton's 3" law says that all forces come in action-reaction pairs, i.e., if
object A exerts a force on B, object B must exert the same force on A but in
the opposite direction. Note that action-reaction pairs always must be the
same type of force.
b. What is the reaction force corresponding to the ramp pushing into the
trunk? What type of force is it? What direction is the reaction force
and what object does the reaction force act on?
FBD
FBD
Transcribed Image Text:Tension: The force with which a string or rope pulls on an object is called the tension. This force always pulls along the direction of the string. Kinetic (Sliding) Friction: This force acts when two surfaces slide against each other. The force along the surface and is opposite the direction of relative sliding. Static Friction: This force may act when two surfaces are in contact without sliding relative to each other. The force is along the surface and has the direction and magnitude needed to keep the surfaces from sliding against each other. It is often difficult to determine the direction of this force. Free Body Diagrams To apply Newton's 2 law, you must correctly identify all the forces without overlooking any or adding any forces that do not act directly on the object. To do so, we will draw a "free body diagram" (FBD) which represent each outside force acting on an object by a labeled arrow. The labels represent the magnitude of the force, for example, "F" for the normal force. 2. A tennis ball of mass M is moving as shown after it has been struck by a racquet. Draw the free body diagram showing the forces acting on the ball. Assume air friction is negligible. 3. A trunk of mass Mis on a ramp. A rope pulls on the trunk horizontally as shown but the trunk does not move. a. In the box provided, draw a labeled "free body diagram" (FBD) showing all the forces acting on the trunk. All the forces in the diagram should have descriptive labels giving the name of the force, for example, "Tor "F" for the tension. Do not label the weight as "g" - this is the acceleration due to gravity and is not a force. Label the weight as "F", "W", or "Mg". Newton's 3" law says that all forces come in action-reaction pairs, i.e., if object A exerts a force on B, object B must exert the same force on A but in the opposite direction. Note that action-reaction pairs always must be the same type of force. b. What is the reaction force corresponding to the ramp pushing into the trunk? What type of force is it? What direction is the reaction force and what object does the reaction force act on? FBD FBD
Activity 2.10 - Modified Atwood's Machine
A cart is connected to a hanging mass by a string passing over a
nearly mass-less and friction-less pulley. The rolling friction and
drag forces are negligible. A force sensor is attached to measure the
tension in the string and a motion sensor is placed to measure the
motion of the cart. The total mass of the cart with the force sensor
is M and the hanging mass is m.
The cart is then released and the velocity as a function of time is
measured. Draw the free body diagram for the cart (with force
probe), and for the hanging mass. The tensions at the two ends of
the string are equal since we are assuming that the mass of the
string and the pulley are negligible.
We will start by using our free body diagram to answer some
qualitative questions.
Based on your free body diagrams, is the tension larger, smaller, or
equal to the hanging weight?
What must be true for the tension to be equal to the hanging
weight?
Does the magnitude of the acceleration increase, decrease, or
remain the same, if we increase the hanging weight?
Does the magnitude of the acceleration increase, decrease or
remain the same if we increase the mass on the cart?
motion sensor
If M = 600 grams and m= 150 grams, what is the acceleration?
M
track
force probe
pulley
a. Write out Newton's 2nd law for each mass and determine the acceleration in terms of m and M. (The simplest way
to do this is to choose the + direction to be in the direction of the acceleration for each piece).
Transcribed Image Text:Activity 2.10 - Modified Atwood's Machine A cart is connected to a hanging mass by a string passing over a nearly mass-less and friction-less pulley. The rolling friction and drag forces are negligible. A force sensor is attached to measure the tension in the string and a motion sensor is placed to measure the motion of the cart. The total mass of the cart with the force sensor is M and the hanging mass is m. The cart is then released and the velocity as a function of time is measured. Draw the free body diagram for the cart (with force probe), and for the hanging mass. The tensions at the two ends of the string are equal since we are assuming that the mass of the string and the pulley are negligible. We will start by using our free body diagram to answer some qualitative questions. Based on your free body diagrams, is the tension larger, smaller, or equal to the hanging weight? What must be true for the tension to be equal to the hanging weight? Does the magnitude of the acceleration increase, decrease, or remain the same, if we increase the hanging weight? Does the magnitude of the acceleration increase, decrease or remain the same if we increase the mass on the cart? motion sensor If M = 600 grams and m= 150 grams, what is the acceleration? M track force probe pulley a. Write out Newton's 2nd law for each mass and determine the acceleration in terms of m and M. (The simplest way to do this is to choose the + direction to be in the direction of the acceleration for each piece).
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