Problem no 6 on Impulse Momentum, Impact & Collision Between Elastic Bodies in Kinetics of Particles

TL;DR

Solving a physics problem involving block A, pendulum ball B, and calculating velocities and angular displacements.

Transcript

hi friends we'll solve problem on kinetics of particles three you see what is given in problem block a is released from rest in the position shown and slide without friction until it strikes ball b of a simple pendulum knowing that coefficient of restitution between a and b is 0.9 determine velocity of b immediately after impact the maximum angular... Read More

Key Insights

• 🚫 Conservation of energy helps determine block A's velocity before impact.
• 🖐️ Coefficient of restitution plays a crucial role in calculating post-impact velocities.
• 💬 Maximum angle of swing is related to the height the pendulum ball attains.
• ❓ Equations involving momentum conservation yield relationships between velocities.
• ❓ Calculations involving heights and velocities interplay in solving the problem.
• ❓ Understanding the dynamics of frictionless motion is crucial in analyzing the scenario.
• 👮 Practical problem-solving in physics involves applying various laws and principles comprehensively.

Questions & Answers

Q: How is the velocity of block A just before impact calculated?

The velocity of block A just before impact can be calculated using the law of conservation of energy, as va = √(2gh) where h is the vertical displacement.

Q: What is the coefficient of restitution in the problem?

The coefficient of restitution between block A and pendulum ball B is given as 0.9, which influences the post-impact velocities of the objects.

Q: How is the maximum angle of swing of the pendulum ball determined?

The maximum angle of swing is calculated by finding the height the ball attains after the impact, utilizing the relation between potential and kinetic energy.

Q: What is the value of the maximum angle of swing in the problem?

The maximum angle of swing of the pendulum ball is found to be approximately 49.87 degrees, determined by the pendulum's length and post-impact velocity.

Summary & Key Takeaways

• Block A is released from rest, slides frictionless, strikes ball B of a pendulum.

• Calculate velocity of ball B after impact and maximum angular displacement.

• Use conservation of energy, momentum, and coefficient of restitution to find solutions.