/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q12P Question: In Fig 12-30, trying t... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 12: Q12P (page 346)

Question: In Fig 12-30, trying to get his car out of mud, a man ties one end of a rope around the front bumper and the other end tightly around a utility pole 18 maway. He then pushes sideways on the rope at its midpoint with a force of 550 N , displacing the center of the rope 0.30 m, but the car barely moves. What is the magnitude of the force on the car from the rope? (The rope stretches somewhat.)

Short Answer

Expert verified

Answer:

Magnitude of force on the car from the rope is 8.3脳103N.

Step by step solution

01

Understanding the given information

F = 550 N

Displacement of the center of the rope is0.30 m .

02

Concept and formula used in the given question 

By drawing an FBD of the rope, you can calculate the angle by using the given geometry. By applying static equilibrium conditions, you can get the tensions on the both sides of rope. Then by solving the torque equation, you can calculate the tension on the rope by using the formula given below.

Static Equilibrium conditions:

鈭�Fx=0鈭�Fy=0鈭�蟿=0

03

Calculation for the magnitude of the force on the car from the rope

FBD of the rope:

From the figure,

胃=tan-10.39=1.90鈭�Fx=0T1脳cos胃-T2脳cos胃=0

Hence,

T1=T2=T鈭�Fy=02T脳sin胃-F=02T脳sin1.9-550=0

By solving for T:

T=8300N=8.3脳103N

Hence, theMagnitude of force on the car from the rope is8.3脳103N .

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Figure 12-84 shows a stationary arrangement of two crayon boxes and three cords. Box Ahas a mass of11.0鈥塳驳 and is on a ramp at angle 胃=30.0掳box Bhas a mass of7.00鈥塳驳 and hangs on a cord. The cord connected to box Ais parallel to the ramp, which is frictionless. (a) What is the tension in the upper cord, and (b) what angle does that cord make with the horizontal?

In Fig. 12-69, a package of mass mhangs from a short cord that is tied to the wall via cord 1 and to the ceiling via cord 2. Cord 1 is at angle蠒=40掳with the horizontal; cord 2 is at angle胃. (a) For what value of 胃is the tension in cord 2 minimized? (b) In terms of mg, what is the minimum tension in cord 2

In Fig. 12-41, a climber with a weight of 533.8 N is held by a belay rope connected to her climbing harness and belay device; the force of the rope on her has a line of action through her center of mass. The indicated angles are 胃=40.0掳and蠒=30.0掳. If her feet are on the verge of sliding on the vertical wall, what is the coefficient of static friction between her climbing shoes and the wall?

Question: In Figure 12-40, one end of a uniform beam of weight is hinged to a wall; the other end is supported by a wire that makes angles 胃=30o with both wall and beam. (a) Find the tension in the wire and the (b) Find horizontal and (c) Find vertical components of the force of the hinge on the beam.

In Fig. 12-82, a uniform beam of length 12.0鈥尘 is supported by a horizontal cable and a hinge at angle 胃=50.0掳. The tension in the cable is 400鈥塏 .

In unit-vector notation, what are

(a) the gravitational force on the beam and

(b) the force on the beam from the hinge?
See all solutions

Recommended explanations on Physics Textbooks

Scientific Method Physics

Read Explanation

Circular Motion and Gravitation

Read Explanation

Force

Read Explanation

Radiation

Read Explanation

Translational Dynamics

Read Explanation

Fields in Physics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.