Practice Dynamics Term (2.3) - Linear Momentum Balance - Solid Mechanics

Practice: Dynamics term

Lesson 2.3Linear Momentum Balance

Practise this section

9 questions

Flashcard drill
3 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
Define linear momentum in mechanics.
Show hintHide hint
Think about what happens when you multiply mass by speed.
Question 2.
What does density represent?
Show hintHide hint
Consider how dense materials feel compared to lighter ones.
3Question 3.
What defines linear momentum?
- Mass and velocity
- Force and time
- Density and pressure
Show hintHide hint
Consider the formula \$p = mv\$.
4Question 4.
True or False: Density remains constant in a deforming body.
- True
- False
Show hintHide hint
Think about how materials react under stress.
Question 5.
A material has a density that varies linearly with position, $\rho(x) = 5 + x$ . Calculate the total linear momentum if the volume of the material is $V = 10$ and it moves with a velocity of $v = 2$ .
Show hintHide hint
Break the calculation into components focusing on how density varies with position.
Question 6.
Explain how the varying density impacts the rate of change of momentum for a cylindrical rod of length $L$ compressed under a force.
Show hintHide hint
Consider the integration of the density and how it contributes to overall momentum change.

5 more questions in this section. Enroll free to practise them all.