Force Equilibrium (Week 4)

Wednesday, 21 March 2018

9:22 PM

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Question I 
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Question 2 
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Four forces act on a body. T ne tour forces are in equilibrium. i represents a unit vector in the x direction, andj represents a unit vector in the y direction. Three of the forces are given by: 
61 + 3] N 
-71*-4) N 
2i+5jN 
The tourtn vector is ai + bj N. 
What is the value ot a? 
Well done' 
Forces in equilibrium add to zero. 
What is the value ot b? 
-4 
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The j components must also add to zero. 

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Question 3 
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Question 4 
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Resultant 
30.00 
In the diagram above the resultant torce is 55.0 N. Complete the details below 
What is the value ot A? 
27.5 
Well done. 
Breaking a vector into components is a vital skill tor solving physical problems. 
What is the value ot B? 
47.6 
Well done' 
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Question 3 
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Question 4 
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Resultant 
30.00 
In the diagram above the resultant torce is 55.0 N. Complete the details below 
What is the value ot A? 
27.5 
Well done. 
Breaking a vector into components is a vital skill tor solving physical problems. 
What is the value ot B? 
47.6 
Well done' 

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Question 5 
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Question 6 
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30.00 
60.00 
The diagram above is not drawn to scale, in the lab you will need to draw your diagram to scale. In the diagram above A nas magnitude 4.9 and B has magnitude 72. 
What is the magnitude otA + B? 
Answer: 3.8 
The easiest way to approach this question is to work out the horizontal and vertical components in tor vectors A and B. Add the vertical components together and the horizontal components together 
and then use Pytnagorus's theorem to add the resultant horizontal and vertical components. 
It is also possible to do it with the cosine rule. 
What angle does A + B make witn the positive x axis? 
Note: Give your answer as a positive number, less than 1800, to the nearest degree. 
Answer: 80 
Always remember to give a direction for a vector 
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Question 5 
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Question 6 
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30.00 
60.00 
The diagram above is not drawn to scale, in the lab you will need to draw your diagram to scale. In the diagram above A nas magnitude 4.9 and B has magnitude 72. 
What is the magnitude otA + B? 
Answer: 3.8 
The easiest way to approach this question is to work out the horizontal and vertical components in tor vectors A and B. Add the vertical components together and the horizontal components together 
and then use Pytnagorus's theorem to add the resultant horizontal and vertical components. 
It is also possible to do it with the cosine rule. 
What angle does A + B make witn the positive x axis? 
Note: Give your answer as a positive number, less than 1800, to the nearest degree. 
Answer: 80 
Always remember to give a direction for a vector 

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Question 7 
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Question 8 
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Calculate the magnitude of the torque acting on a body it A represents the displacement vector of the force acting on the body (magnitude is equal to the distance öeüeen the pivot point and the 
force) and B is the torce_ Assume IAI (magnitude of A) is equal to 1.9 m and IBI is equal to 1.9 N. The direction ot A and B are shown in the diagram below. 
30.00 
1.8 
Well Done' 
The cross product of distance and force is the torque, the dot product gives you work. These two things nave the same units but one is a vector and one a scalar. 
What is the direction of the torque? 
Select one: 
a Down the screen 
5. To the right 
c. Into the screen 
d. Out of the screen 
e. Up the screen 
t. To the lett 
Well done.
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Question 7 
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Question 8 
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Calculate the magnitude of the torque acting on a body it A represents the displacement vector of the force acting on the body (magnitude is equal to the distance öeüeen the pivot point and the 
force) and B is the torce_ Assume IAI (magnitude of A) is equal to 1.9 m and IBI is equal to 1.9 N. The direction ot A and B are shown in the diagram below. 
30.00 
1.8 
Well Done' 
The cross product of distance and force is the torque, the dot product gives you work. These two things nave the same units but one is a vector and one a scalar. 
What is the direction of the torque? 
Select one: 
a Down the screen 
5. To the right 
c. Into the screen 
d. Out of the screen 
e. Up the screen 
t. To the lett 
Well done. 

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Question 9 
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h = 2.0 m 
Ml = 0.5 kg 
The see-saw in the diagram above is in equilibrium (it is not drawn to scale). It M2 = 1.2 kg, what is the distance r2? 
0.8

 

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