Static equilibrium requires that the following three equations are satisfied by the forces that are acting. Σ F = 0 and Σ Fy = 0 and Σ T = 0 While most students are comfortable with summing the horizontal and vertical components of all the forces, the first two equations seldom solve the problem at hand. Starting with the torque equation is usually the best starting point. However, to do this you need to be able to find torque which means being well versed at trigonometry or knowing helpful shortcuts to find the lever arm (i.e.how to translate forces). Which of the following statements about the lever arm are true? Consider the image below of a 3.6 kg pot plant that is hung from a 0.65 kg bracket, where a good choice of pivot-point is to locate this at the bottom of the bracket. Translating the tension force vector (that is equal to the weight of the pot plant) until it's end is perpendicular to the pivot point, reveals the lever arm distance to be 0.28 m. -9 cm- h - 28 cm CM 7.2 cm I Consider the image below of a sign of mass M that is hung from a pole of mass m where the pole is supported by a chord that is secured to a wall. A good choice of the pivot point is where the pole connects to the wall as the forces that act normal to the wall and parallel to the wall are unknown. Translating the chord tension force vector until it's end is perpendicular to the pivot point, reveals the lever arm distance to be r₁ = h cos[tan ¹()].
Static equilibrium requires that the following three equations are satisfied by the forces that are acting. Σ F = 0 and Σ Fy = 0 and Σ T = 0 While most students are comfortable with summing the horizontal and vertical components of all the forces, the first two equations seldom solve the problem at hand. Starting with the torque equation is usually the best starting point. However, to do this you need to be able to find torque which means being well versed at trigonometry or knowing helpful shortcuts to find the lever arm (i.e.how to translate forces). Which of the following statements about the lever arm are true? Consider the image below of a 3.6 kg pot plant that is hung from a 0.65 kg bracket, where a good choice of pivot-point is to locate this at the bottom of the bracket. Translating the tension force vector (that is equal to the weight of the pot plant) until it's end is perpendicular to the pivot point, reveals the lever arm distance to be 0.28 m. -9 cm- h - 28 cm CM 7.2 cm I Consider the image below of a sign of mass M that is hung from a pole of mass m where the pole is supported by a chord that is secured to a wall. A good choice of the pivot point is where the pole connects to the wall as the forces that act normal to the wall and parallel to the wall are unknown. Translating the chord tension force vector until it's end is perpendicular to the pivot point, reveals the lever arm distance to be r₁ = h cos[tan ¹()].
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Please provide detailed workings to the statements in the image explaining why it's true or false. Many thanks
![Static equilibrium requires that the following three equations are satisfied by the forces that are acting.
Σ F, = 0 and Σ Fy = 0 and Σp Tp = 0
While most students are comfortable with summing the horizontal and vertical components of all the forces, the first two equations seldom solve the
problem at hand. Starting with the torque equation is usually the best starting point.
However, to do this you need to be able to find torque which means being well versed at trigonometry or knowing helpful shortcuts to find the lever
arm (i.e.how to translate forces).
Which of the following statements about the lever arm are true?
Consider the image below of a 3.6 kg pot plant that is hung from a 0.65 kg bracket, where a good choice of pivot-point is to locate this at the bottom of the
bracket.
Translating the tension force vector (that is equal to the weight of the pot plant) until it's end is perpendicular to the pivot point, reveals the lever arm distance
to be 0.28 m.
h
cm
350
Consider the image below of a sign of mass M that is hung from a pole of mass m where the pole is supported by a chord that is secured to a wall. A good
choice of the pivot point is where the pole connects to the wall as the forces that act normal to the wall and parallel to the wall are unknown.
Translating the chord tension force vector until it's end is perpendicular to the pivot point, reveals the lever arm distance to be r₁= h cos[tan¯¹ (2)].
28 cm
CM
T
7.2 cm
W
Consider the image below of a crane boom (coloured pink) that has a mass M. A horizontal cable is connected to the centre of mass of the crane. A
small mass m is hung from the top of the boom.
A good choice of the pivot point is indicated by P, as the force that acts here is unknown and must have both vertical and horizontal components.
Translating the tension force from the cable vector until it's end is perpendicular to the pivot point, reveals the lever arm distance to be 9 m.
Alice's
RESTAURANT
CO.O.O.O
L
L
18 m
Consider the image below of a board of weight W supported by two equal length chords. At one end of the board is a block of weight w.
Since the chord lengths are the same, the tension in each chord must also be the same.
50°
ןןן
9.20
60°](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F99ed09dc-6191-4e32-a7ee-2313d789b15e%2Fe31528ed-62f4-44ef-9351-fa178879e1e9%2Fxpr7ysc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Static equilibrium requires that the following three equations are satisfied by the forces that are acting.
Σ F, = 0 and Σ Fy = 0 and Σp Tp = 0
While most students are comfortable with summing the horizontal and vertical components of all the forces, the first two equations seldom solve the
problem at hand. Starting with the torque equation is usually the best starting point.
However, to do this you need to be able to find torque which means being well versed at trigonometry or knowing helpful shortcuts to find the lever
arm (i.e.how to translate forces).
Which of the following statements about the lever arm are true?
Consider the image below of a 3.6 kg pot plant that is hung from a 0.65 kg bracket, where a good choice of pivot-point is to locate this at the bottom of the
bracket.
Translating the tension force vector (that is equal to the weight of the pot plant) until it's end is perpendicular to the pivot point, reveals the lever arm distance
to be 0.28 m.
h
cm
350
Consider the image below of a sign of mass M that is hung from a pole of mass m where the pole is supported by a chord that is secured to a wall. A good
choice of the pivot point is where the pole connects to the wall as the forces that act normal to the wall and parallel to the wall are unknown.
Translating the chord tension force vector until it's end is perpendicular to the pivot point, reveals the lever arm distance to be r₁= h cos[tan¯¹ (2)].
28 cm
CM
T
7.2 cm
W
Consider the image below of a crane boom (coloured pink) that has a mass M. A horizontal cable is connected to the centre of mass of the crane. A
small mass m is hung from the top of the boom.
A good choice of the pivot point is indicated by P, as the force that acts here is unknown and must have both vertical and horizontal components.
Translating the tension force from the cable vector until it's end is perpendicular to the pivot point, reveals the lever arm distance to be 9 m.
Alice's
RESTAURANT
CO.O.O.O
L
L
18 m
Consider the image below of a board of weight W supported by two equal length chords. At one end of the board is a block of weight w.
Since the chord lengths are the same, the tension in each chord must also be the same.
50°
ןןן
9.20
60°
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