/*! 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} Q. 7 Block B in the figure rests on a... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 7: Q. 7 (page 177)

Block B in the figure rests on a surface for which the static and kinetic coefficients of friction are 0.60and 0.40respectively. The ropes are massless.

What is the maximum mass of block A for which the system remains in equilibrium?

Short Answer

Expert verified

The maximum mass of the block A for which the system remains in equilibrium is12kg.

Step by step solution

01

Part (a) Step 1 : Given information

Static friction coefficient 渭s=0.60,kinetic friction coefficient 渭k=0.40,mass of blockmB=20kg.

02

Part (a) Step 2 : Calculation

Here, the tension in the rope is the same at all points. Block B must not slide to be in equilibrium.

That means that the tension T in the rope must not exceed the maximum static friction force acting on B.

T=渭s脳mB脳gT=0.6脳20kg脳9.8m/s2T=117.6N

Tension in the rope at 450 is T . Also, equilibrium requires that block A not to move, so

localid="1650266822568" Tsin45=mAgT=2mAgm蚂=T/2gTcos45=117.6NT=2脳117.6Nm蚂=2脳117.6N2脳g117.6N/9.8m/s2m蚂=12kg

03

Part (a) Step 3 : Final answer

The maximum mass of the block for which the system remains in equilibrium is12kg.

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

The cable cars in San Francisco are pulled along their tracks by an underground steel cable that moves along at 9.5mph.The cable is driven by large motors at a central power station and extends, via an intricate pulley arrangement, for several miles beneath the city streets. The length of a cable stretches by up to 100ftduring its lifetime. To keep the tension constant, the cable passes around a 1.5mdiameter 鈥渢ensioning pulley鈥� that rolls back and forth on rails, as shown inFIGURE100ft. A 2000kgblock is attached to the tensioning pulley鈥檚 cart, via a rope and pulley, and is suspended in a deep hole. What is the tension in the cable car鈥檚 cable?

A 2.0-m-long, 500grope pulls a 10kg block of ice across a horizontal, frictionless surface. The block accelerates at 2.0m/s2 . How much force pulls forward on (a) the ice, (b) the rope? Assume that the rope is perfectly horizontal.

FIGURECP7.57shows a200ghamster sitting on an 800gwedge-shaped block. The block, in turn, rests on a spring scale. An extra-fine lubricating oil having 渭s=渭k=0is sprayed on the top surface of the block, causing the hamster to slide down. Friction between the block and the scale is large enough that the block does not slip on the scale. What does the scale read, in grams, as the hamster slides down?

A 40cmdiameter, 50cmtall, 15kghollow cylinder is placed on top of a 40cm-diameter, 30cm-tall, 100kgcylinder of solid aluminum, then the two are sent sliding across frictionless ice. The static and kinetic coefficients of friction between the cylinders are 0.45and 0.25, respectively. Air resistance cannot be neglected. What is the maximum speed the cylinders can have without the top cylinder sliding off?

A long, 1.0kgrope hangs from a support that breaks, causing the rope to fall, if the pull exceeds 40N. A student team has built a 2.0kgrobot 鈥渕ouse鈥� that runs up and down the rope. What maximum acceleration can the robot have鈥攂oth magnitude and direction鈥攚ithout the rope falling?
See all solutions

Recommended explanations on Physics Textbooks

Conservation of Energy and Momentum

Read Explanation

Electricity

Read Explanation

Radiation

Read Explanation

Work Energy and Power

Read Explanation

Modern Physics

Read Explanation

Rotational Dynamics

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.