A plank of wood is fixed to a wall üsing a HlIl ched to the wood 25cm from the hinge and fixed to the wall so that it is horizontal (Diagram A). The wood is then pushed downwards until it is perpendicular to the wall (Diagram B). The force exerted byithe spring, depends on its length. As the spring stretches, the force it exerts increases. A graph showing this relationship is below. When the angle between the plank and the wall is 45°, a spring is 70 Diagram B 60 Diagram A spring 50 90 30 20 45% 25cm 90 10 25cm hinge 10 15 20 25 30 15 40 Spring Length (cm) (a) Calculate the length of the spring in Diagrams A and B. (b) Calculate the torque produced by the spring on the plank of wood around the hinge in 4 both Diagrams A and B and compare the values.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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A alank of wood is fixed to a wall using a hinge. When the angle between the plank and the wall is 45°, a spring is
attached to the wood 25cm from the hinge and fixed to the wall so that it is horizontal (Diagram A). The wood is then
pushed downwards until it is perpendicular to the wall (Diagram B).
The force exerted by the spring, depends on its length. As the spring stretches, the force it exerts increases. A graph
showing this relationship is below.
70
Diagram B
60
Diagram A
spring
50
90°
20
25cm
45
90°
10
25cm
hinge
10
35
15
20
25
30
Spring Length (cm)
(a) Calculate the length of the spring in Diagrams A and B.
(b) Calculate the torque produced by the spring on the plank of
compare the values.
around the hinge in 4
oth Diagrams A and B and
Force (N)
Transcribed Image Text:A alank of wood is fixed to a wall using a hinge. When the angle between the plank and the wall is 45°, a spring is attached to the wood 25cm from the hinge and fixed to the wall so that it is horizontal (Diagram A). The wood is then pushed downwards until it is perpendicular to the wall (Diagram B). The force exerted by the spring, depends on its length. As the spring stretches, the force it exerts increases. A graph showing this relationship is below. 70 Diagram B 60 Diagram A spring 50 90° 20 25cm 45 90° 10 25cm hinge 10 35 15 20 25 30 Spring Length (cm) (a) Calculate the length of the spring in Diagrams A and B. (b) Calculate the torque produced by the spring on the plank of compare the values. around the hinge in 4 oth Diagrams A and B and Force (N)
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