For the free body diagram shown. What is the magnitude of the force on A, if the object is in equilibrium?

Question

BlackTom AI · Accepted Answer

First, list the forces acting on the object: a 50 N force to the right, an unknown force A to the left, an upward force B, and a downward force of 200 N. To be in equilibrium, the net force in each direction must be zero.

Option 1: 0 N for A. If A were 0, the horizontal forces would be 50 N to the right with no opposing leftward force, so the net horizontal force would not be zero. This contradicts equilibrium.

Option 2: 150 N for A. If A were 150 N to the left, the horizontal sum would be 50 N right minus 150 N left, giving -100 N net horizontal force, which is not zero, so equilibrium fails.

Option 3: 50 N for A. With A = 50 N to the left and 50 N to the right, the horizontal components cancel, yielding zero net horizontal force, satisfying equilibrium horizontally.

Option 4: 200 N for A. If A were 200 N to the left, the horizontal sum would be 50 N right minus 200 N left = -150 N, not zero, so horizontal equilibrium would be violated.

Vertical forces require B = 200 N upward to balance the 200 N downward force, ensuring vertical equilibrium as well, though this is separate from determining A. Since A must be 50 N to satisfy horizontal equilibrium, the correct magnitude for A is 50 N.

For the free body diagram shown. What is the magnitude of the force on A, if the object is in equilibrium?

View Explanation

Log in for full answers

Similar Questions

An object or body is in static equilibrium because the vector sum of all external forces is:

An object rests on an inclined slope. Which of the following statements is true?

An object rests on an inclined slope. Which of the following statements is true?

For the free body diagram shown. What is the magnitude of the force on A, if the object is in equilibrium?

Determine the force F required to keep the lever stationary as shown in the figure below. The mass of the object is 30 kg. Assume the gravitational acceleration to be 9.8 m/s2. Provide your answer in N to 4 decimal places.

A uniform beam of mass 5 kg is hinged to a wall and supported at its outer end by a wire as shown. The outer end supports a 10 kg load, also shown: The tension in the wire is:

In a consumer society, many adults channel creativity into buying things

More Practical Tools for Students Powered by AI Study Helper

Homework AI Solver

Stylized AI Paper Writer

Plagiarism Checker Assistant

Citation AI Academic Writing Tool

In-Class Translation Assistant

AI Note Generator

AI Quiz Answers

Past Exam Questions from University Test Bank

Smart Practice Assistant

Adaptive Practice

Making Your Study Simpler