Projectile Motion - Problem 17 - Kinematics of Particles - Engineering Mechanics

TL;DR

An analysis of a projectile motion problem involving the placement and speed of marbles falling through a tube into a can.

Transcript

hi friends we'll solve problem on projectile motion let's see what is given in problem marbles having mass of 5 grams fall from rest at a fall from rest that means initial velocity at a is 0 through the glass tube and accumulate in the can at sea that can is given on the right side determine the placement r of the can from the end of the tube that ... Read More

Key Insights

• 😎 Marbles falling through a glass tube into a can can be analyzed using principles of projectile motion.
• 🚦 The velocity at the start of projectile motion can be calculated by considering the vertical displacement of the marble.
• 🚥 The velocity during projectile motion has horizontal and vertical components that can be determined separately.

Questions & Answers

Q: What is the purpose of the analysis in this video?

The purpose is to determine the placement and speed at which marbles fall into a can in a projectile motion problem.

Q: How is the velocity at the start of the projectile motion calculated?

By considering the vertical displacement of the marble from the tube to the starting point of the projectile motion and using the formula v_b = √(2gh).

Q: What are the components of the velocity during the projectile motion?

The velocity has a horizontal component (v_cx) that remains constant and a vertical component (v_cy) that is influenced by gravity.

Q: How can the placement of the can be determined?

The horizontal distance (placement) can be calculated by multiplying the horizontal component of velocity (v_cx) by the time taken (t) for the marble to reach the can.

Summary & Key Takeaways

• Marbles with a mass of 5 grams fall from rest through a glass tube into a can, with the goal of determining the placement of the can from the tube and the speed at which the marbles fall.

• The motion can be divided into two parts: from the tube to a certain point (non-projectile motion) and from that point to the can (projectile motion).

• The velocity at the start of the projectile motion (v_b) can be calculated by considering the vertical displacement of the marble from the tube to the starting point of projectile motion.