Friction Example 9 - Friction - Engineering Mechanics

TL;DR

Solve if a 500 kg stone on a 60-degree inclined plane, with a friction coefficient of 0.4, is stable.

Transcript

let us take question number four our fourth problem on the topic of friction i'll read the question a stone of mass 500 kg is resting on an inclined plane of 60 degree full stop if coefficient of friction is 0.4 comma find out if the stone will be stable or not so here i have a question in which the diagram is not given but some hints are provided ... Read More

Key Insights

• ✈️ Determining stability on an inclined plane involves comparing frictional and downward forces.
• 🏋️ Weight of an object on an inclined plane affects its stability calculations.
• 🖐️ Friction force plays a crucial role in keeping objects stable on inclines.
• ❓ In practical physics problems, understanding forces and components is essential for solving friction scenarios.
• 🆘 Calculating normal reactions helps in finding friction forces on inclined surfaces.
• ❓ Understanding the direction and magnitude of forces is crucial in determining object stability.
• 🧑‍🏭 Coefficient of friction is a significant factor in predicting the behavior of objects on surfaces.

Questions & Answers

Q: How is the weight of the stone calculated in the given problem?

The weight of the stone (capital W) is calculated by multiplying the mass (500 kg) by the acceleration due to gravity (9.81 m/s^2), resulting in 4905 Newton.

Q: What conditions determine if the stone on the inclined plane is stable?

The stone will be stable if the friction force between the stone and the incline is greater than the component of weight sliding the stone downward.

Q: How is the frictional force calculated in the problem?

The frictional force (capital F) is determined by multiplying the coefficient of friction (0.4) by the normal reaction (2.4510 x 10^3 N), yielding 980 Newton.

Q: Why is the stone deemed unstable in the problem?

The stone is unstable because the downward force (4905 sine 60) is greater than the frictional force (980 N), causing the stone to slide downward.

Summary & Key Takeaways

• Stone of 500 kg rests on a 60-degree inclined plane with a friction coefficient of 0.4.

• Calculate weight of the stone, components of weight, friction force, and stability based on forces.

• Stone will be unstable as the downward force exceeds the friction force, leading to sliding.