Question

A steel beam of $700 \mathrm{~kg}$ is raised by a crane with an acceleration of $2 \mathrm{~m} / \mathrm{s}^{2}$ relative to the ground at a location where the local gravitational acceleration is $9.5 \mathrm{~m} / \mathrm{s}^{2} .$ Find the required force.

Name: Problem 36, Chapter 1: Fundamentals of Thermodynamics
Uploaded: 2022-01-29T22:53:16-08:00
Duration: 1 min 6 s
Channel: Mahnoor Khan
Description: A steel beam of 700 kg is raised by a crane with an acceleration of 2 m / s^2 relative to the ground at a location where the local gravitational acceleration is 9.5 m / s^2 . Find the required force.

   A steel beam of $700 \mathrm{~kg}$ is raised by a crane with an acceleration of $2 \mathrm{~m} / \mathrm{s}^{2}$ relative to the ground at a location where the local gravitational acceleration is $9.5 \mathrm{~m} / \mathrm{s}^{2} .$ Find the required force.

Fundamentals of Thermodynamics

Claus Borgnakke,… 8th Edition

Chapter 1, Problem 36

Instant Answer

Solved by Expert Mahnoor Khan

01/29/2022

Step 1

We have the mass of the steel beam $m = 700 \, \mathrm{kg}$, the local gravitational acceleration $g = 9.5 \, \mathrm{m/s^2}$, and the acceleration of the crane $a = 2 \, \mathrm{m/s^2}$. Show more…

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A steel beam of $700 \mathrm{~kg}$ is raised by a crane with an acceleration of $2 \mathrm{~m} / \mathrm{s}^{2}$ relative to the ground at a location where the local gravitational acceleration is $9.5 \mathrm{~m} / \mathrm{s}^{2} .$ Find the required force.

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Key Concepts

Net Force Analysis

When an object accelerates in the presence of gravity, the net force is found by accounting for both the force needed to overcome gravity and the force needed to accelerate the object upward. This concept involves summing forces vectorially to arrive at the overall force applied.

Gravitational Force

This is the force of attraction exerted by the Earth on any object near its surface, calculated as the product of the object's mass and the local acceleration due to gravity. It plays a crucial role in determining the total force required to move an object vertically.

Newton's Second Law

This principle states that the net force acting on an object is equal to the product of its mass and its acceleration (F = ma). It is fundamental for analyzing the dynamics of objects, including systems where additional forces like gravity are involved.

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