A handbag containing some load weighing 162N is carried by two students each holding the handle of the bag next to him. If each handle is pulled \( 60^{\circ} \) to the vertical, find the force on each student's arm

a

81N

b

121N

c

162N

d

324N

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Correct Option
c

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Discussions (26)

vanchez
4 years ago
Image

aabornonizm
2 years ago
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DEWIZO
2 years ago

note : we where asked to look for the force in each student hand , not the total force in the both hand , if we where asked to look for the total force in both hand , the ans could have been162N , but since we where asked to look for the force in each hand we now solve like dis 👇👇👇


To find the force on each student's arm when they pull the handles of the bag at an angle of 60 degrees to the vertical, we can use trigonometry.

Given:
- Weight of the load = 162 N
- Angle between the handle and the vertical = 60 degrees

Let's denote:
- Force on each student's arm = F
- Vertical component of the force = F_vertical
- Weight of the load = W = 162 N

The force on each student's arm is the sum of the vertical components of the weight of the load. The vertical component can be calculated using trigonometry:
F_vertical = W * cos(angle)

1. Calculate the vertical component of the weight of the load:
F_vertical = 162 * cos(60)

2. Since each student is holding one handle, the force on each student's arm is equal to the vertical component of the weight of the load:
Force on each student's arm = F = F_vertical

3. Calculate the force on each student's arm:
F = 162 * cos(60)

By calculating the above expression, the force on each student's arm when they pull the handles at a 60-degree angle to the vertical is approximately 81 N.

solomon3600
3 months ago
Image

ukeme18
7 years ago

Using the principle of triangle of forces
the sides of the triangle are equal

x0y1lzN48bylh
6 months ago

abii na the answer

Sammyporsche123
2 years ago

C

Sundayshedrack
3 years ago

the correct answer is c

Extrano
5 years ago

The original answer is A

Mealee
2 years ago

My school sorry if my words are offensive but can't u solve principle of triangle. This isn't the first mistake or should I call 🤙 it error.

Grace1244
4 years ago

The above answer is incorrect

LawrenceJanada
4 years ago

guys
the weight is 162N and each handle is pulled by 60
so 162cos 60=81N

stez
10 months ago

I don't think the answer is correct it seems to be 81N

isumaye
3 months ago

diagram is not opening

ChristEmmanuel400
3 months ago

This answer is wrong the the calculation is saying that the vertical component is fv=cos 60 and that is wrong vertical component is fv=sin60

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