Chapter 9: Q4 PE (page 316)

Use the second condition for equilibrium(net $τ = 0$ )to calculate $F_{P}$ inExample 9.1, employing any data given or solved for in part (a) of the example.

Short Answer

Expert verified

The calculated force is $F_{P} = 568 N$ .

Step by step solution

Given data

The mass is, $m_{1} = 26 kg$ .
The distance from the hinge is, $r_{1} = 1.60 m$ .
The mass of the other is, $m_{2} = 32 kg$ .

The distance of the other from the hinge is, $r_{2} = 1.30 m$ .

Introduction of force

When the system is in equilibrium, the net force acting on a body will be equal to zero. In other words, the forces will balance each other, and the system will remain in equilibrium as long as no external disturbance is there.

Calculation of the force

The net torque is zero; we can write the equation as,

\underset{}{\sum τ} = 0 F_{P} \times r_{1} - W_{2} (r_{1} + r_{2}) = 0 F_{p} \times r_{1} - m_{2} g (r_{1} + r_{2}) = 0

Here g is the gravitational acceleration.

Substitute the values in the above expression, and we get,

$F_{P} \times 1.60 = 32 \times 9.8 \times (1.60 + 1.30) F_{P} = \frac{32 \times 9.8 \times (1.60 + 1.30)}{1.60} F_{P} = 568 N$

Hence, the force is

F_{P} = 568 N

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Use the second condition for equilibrium(net $τ = 0$ )to calculate $F_{P}$ inExample 9.1, employing any data given or solved for in part (a) of the example.

Short Answer

Step by step solution

Given data

Introduction of force

Calculation of the force

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Geometrical and Physical Optics

Engineering Physics

Scientific Method Physics

Astrophysics

Rotational Dynamics

Measurements

Study anywhere. Anytime. Across all devices.

Use the second condition for equilibrium(net τ=0)to calculateFPinExample 9.1, employing any data given or solved for in part (a) of the example.

Short Answer

Step by step solution

Given data

Introduction of force

Calculation of the force

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Geometrical and Physical Optics

Engineering Physics

Scientific Method Physics

Astrophysics

Rotational Dynamics

Measurements

Study anywhere. Anytime. Across all devices.

Use the second condition for equilibrium(net $τ = 0$ )to calculate $F_{P}$ inExample 9.1, employing any data given or solved for in part (a) of the example.