A non-uniform beam extends horizontally from x = 0 m to x = 6.5 m. The linear mass density of the beam, as a function of x, is given by λ(x) = 17 - 3 (x / 6.5) (kg/m). Calculate the gravitational torque on the beam about its left end, in N m. Use g = 10 m/s2. Make your answer a positive number.

A non-uniform beam extends horizontally from x = 0 m to x = 6.5 m. The linear mass density of the beam, as a function of x, is given by λ(x) = 17 - 3 (x / 6.5) (kg/m). Calculate the gravitational torque on the beam about its left end, in N m. Use g = 10 m/s2. Make your answer a positive number.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 30P

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Concept explainers

Rotational Equilibrium And Rotational Dynamics

In physics, the state of balance between the forces and the dynamics of motion is called the equilibrium state. The balance between various forces acting on a system in a rotational motion is called rotational equilibrium or rotational dynamics.

Equilibrium of Forces

The tension created on one body during push or pull is known as force.

Question

A non-uniform beam extends horizontally from x = 0 m to x = 6.5 m. The linear mass density of the beam, as a function of x, is given by

λ(x) = 17 - 3 (x / 6.5) (kg/m).

Calculate the gravitational torque on the beam about its left end, in N m. Use g = 10 m/s². Make your answer a positive number.

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