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.

Question

BlackTom AI · Accepted Answer

First, I identify the forces and their moments about the pivot at the right end of the lever. The upward force F is applied at the left end, 10 m from the pivot, producing a counterclockwise moment F × 10. The weight of the mass m is mg, acting downward at a point 4 m to the left of the pivot, producing a clockwise moment mg × 4.

Next, I set up the torque balance for the lever to remain stationary: sum of counterclockwise moments equals sum of clockwise moments. Therefore, F × 10 = m g × 4.

Then I substitute the given values: m = 30 kg and g = 9.8 m/s^2, so m g = 30 × 9.8 = 294 N. The moment due to the mass is 294 × 4 = 1176 N·m.

Now I solve for F: F = (m g × 4) / 10 = 1176 / 10 = 117.6 N.

Thus, the force required to keep the lever stationary is 117.6 N. If needed, I can show the intermediate steps again in a compact form: F = (30 × 9.8 × 4) / 10 = 117.6 N.

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.

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?

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

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