/*! 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. 6 The three masses shown in FIGURE... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 12: Q. 6 (page 330)

The three masses shown in FIGURE EX12.6 are connected by massless, rigid rods. What are the coordinates of the center of mass?

Short Answer

Expert verified

The position of the center of mass is(1.67cm,3.33cm)

Step by step solution

01

Step 1. Given information

Let us assume that the mass 300gbe at origin.

The co-ordinates of ball A 300gis (0,0)

The co-ordinates of ball 200gB is (0,10cm)

The co-ordinates of ball 100gC is (10cm,0)

02

Step 2. Explanation

The x-coordinate of center of mass is,

xcm=mAxA+mBxB+mCxCmA+mB+mCxcm=(300g)(0cm)+(200g)(0cm)+(100g)10cm100g+200g+300gxcm=1.67cm

The Y-coordinate of center of mass is,

ycm=mAyA+mByB+mCyCmA+mB+mCycm=(100g)(0cm)+(200g)(10cm)+(300g)(0cm)100+200+300ycm=3.33cm

Therefore, the position of the center of mass is (1.67cm,3.33cm).

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

Evaluate the cross products A鈫�脳B鈫�and C鈫�脳D鈫�

What is the angular momentum vector of the diameter rotating disk?

The bunchberry flower has the fastest-moving parts ever observed in a plant. Initially, the stamens are held by the petals in a bent position, storing elastic energy like a coiled spring. When the petals release, the tips of the stamen act like medieval catapults, flipping through a 60o颅 angle in just 0.30 ms to launch pollen from anther sacs at their ends. The human eye just sees a burst of pollen; only high-speed photography reveals the details. As FIGURE CP12.85 shows, we can model the stamen tip as a 1.0mm long, 10 渭g rigid rod with a 10 渭g anther sac at the end. Although oversimplifying, we鈥檒l assume a constant angular
acceleration.

a. How large is the 鈥渟traightening torque鈥�?
b. What is the speed of the anther sac as it releases its pollen?

The three masses shown in FIGURE EX12.7 are connected by massless, rigid rods. What are the coordinates of the center of mass?

a. A disk of mass M and radius R has a hole of radius r centered on the axis. Calculate the moment of inertia of the disk.
b. Confirm that your answer agrees with Table 12.2 when r = 0 and when r = R.
c. A 4.0-cm-diameter disk with a 3.0-cm-diameter hole rolls down a 50-cm-long, 20o ramp. What is its speed at the bottom? What percent is this of the speed of a particle
sliding down a frictionless ramp?
See all solutions

Recommended explanations on Physics Textbooks

Magnetism and Electromagnetic Induction

Read Explanation

Nuclear Physics

Read Explanation

Linear Momentum

Read Explanation

Magnetism

Read Explanation

Force

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.