Activity 2.3- Introduction to the Free Body Diagram Method The free body diagram method is a systematic way to solve problems involving Newton's 2nd Law problems. We go through the free body diagram step by step in the first problem. Please repeat the steps for the other problem - don't skip steps. Use g = 10 m/s² in the problems below. 1. A trunk of mass, M = 75 kg, is pulled across the floor by using a rope oriented at an angle = 20° above horizontal. The rope's tension is T = 150 N and the floor exerts a frictional force, frr = 80 N, on the trunk. a. Draw the free body diagram (FBD) for the object. T • Besides gravity, all other forces should be in direct contact with the object. • Give each force a unique label representing the magnitude of each force. • Ma is not a force and does not appear on a FBD but the sum of the forces is equal to Mä. To represent this, draw an arrow to the right of the "=" in the direction of the acceleration and label it "Ma" or write "0" is the acceleration is zero. b. Choose a +x and +y direction and label on your diagram. Typically, it is a good idea to pick a positive direction to be in the direction of the acceleration. c. Use your free body diagram to write out Newton's 2nd law in the x and y directions in terms of the labels in your free body diagram and the givens (FN.T.ffr. M.g.0, and a). Break up the forces into components and pay attention to signs. On the right- hand side (RHS), set Ma, and Ma, to +Ma, -Ma, or zero depending on the direction of the acceleration. Do not substitute in numbers yet. WF, = max WF, = may FBD ffr M 0
Activity 2.3- Introduction to the Free Body Diagram Method The free body diagram method is a systematic way to solve problems involving Newton's 2nd Law problems. We go through the free body diagram step by step in the first problem. Please repeat the steps for the other problem - don't skip steps. Use g = 10 m/s² in the problems below. 1. A trunk of mass, M = 75 kg, is pulled across the floor by using a rope oriented at an angle = 20° above horizontal. The rope's tension is T = 150 N and the floor exerts a frictional force, frr = 80 N, on the trunk. a. Draw the free body diagram (FBD) for the object. T • Besides gravity, all other forces should be in direct contact with the object. • Give each force a unique label representing the magnitude of each force. • Ma is not a force and does not appear on a FBD but the sum of the forces is equal to Mä. To represent this, draw an arrow to the right of the "=" in the direction of the acceleration and label it "Ma" or write "0" is the acceleration is zero. b. Choose a +x and +y direction and label on your diagram. Typically, it is a good idea to pick a positive direction to be in the direction of the acceleration. c. Use your free body diagram to write out Newton's 2nd law in the x and y directions in terms of the labels in your free body diagram and the givens (FN.T.ffr. M.g.0, and a). Break up the forces into components and pay attention to signs. On the right- hand side (RHS), set Ma, and Ma, to +Ma, -Ma, or zero depending on the direction of the acceleration. Do not substitute in numbers yet. WF, = max WF, = may FBD ffr M 0
Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Problem 1.1MA
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Transcribed Image Text:Activity 2.3 - Introduction to the Free Body Diagram Method
The free body diagram method is a systematic way to solve problems involving Newton's 2nd Law problems. We go
through the free body diagram step by step in the first problem. Please repeat the steps for the other problem - don't
skip steps. Use g = 10 m/s² in the problems below.
20⁰ above
1. A trunk of mass, M = 75 kg, is pulled across the floor by using a rope oriented at an angle 0 =
horizontal. The rope's tension is T = 150 N and the floor exerts a frictional force, ffr = 80 N, on the trunk.
a. Draw the free body diagram (FBD) for the object.
T
0
●
C.
●
●
Besides gravity, all other forces should be in direct
contact with the object.
Give each force a unique label representing the
magnitude of each force.
Ma is not a force and does not appear on a FBD but
the sum of the forces is equal to Ma. To represent
this, draw an arrow to the right of the "=" in the
direction of the acceleration and label it "Ma" or
write "O" is the acceleration is zero.
b. Choose a +x and +y direction and label on your
diagram. Typically, it is a good idea to pick a positive
direction to be in the direction of the acceleration.
Use your free body diagram to write out Newton's 2nd
law in the x and y directions in terms of the labels in
your free body diagram and the givens
(FN,T,ffr, M, g,0, and a). Break up the forces into
components and pay attention to signs. On the right-
hand side (RHS), set Max and May to +Ma, -Ma, or
zero depending on the direction of the acceleration. Do
not substitute in numbers yet.
ΣFx = max
FBD
ffr
M
=
7
ΣFy = may
d. Determine the normal force in terms of the given symbols (T. ffr, M, 0, and/or g). Do not substitute in
numbers yet.
e. Substitute in numerical values given to find the value of FN. Show numbers you used including units. Check that
each term has the correct units.
f. Determine the magnitude of the acceleration in terms of the given symbols (T. ffr, M, 0, and/or g). Check your
answer ONLY contains the given symbols. Do not substitute in numbers yet.
g. Substitute in the numerical values provided to find the value of the acceleration. Show numbers you used
including units. Check that each term has the correct units. Use g = 10 m/s².
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