2. Mechanics and Design

Statics And Dynamics — Quiz

Test your understanding of statics and dynamics with 5 practice questions.

Practice Questions

Question 1

A uniform slender rod of mass $M$ and length $L$ is pivoted at one end and released from rest in a horizontal position. What is the angular velocity of the rod when it reaches the vertical position?

Question 2

A particle moves in the $xy$-plane such that its position vector is given by $ \vec{r}(t) = (A \cos(\omega t)) \hat{i} + (A \sin(\omega t)) \hat{j} $, where $A$ and $ \omega $ are constants. What is the magnitude of the particle's acceleration?

Question 3

A uniform ladder of length $L$ and mass $M$ rests against a smooth vertical wall and a rough horizontal floor. The ladder makes an angle $ \theta $ with the horizontal. What is the minimum coefficient of static friction between the ladder and the floor required for the ladder to remain in equilibrium?

Question 4

A robotic arm link is modeled as a uniform cylinder of mass $m$ and radius $R$. If it is rotating about its central longitudinal axis, what is its moment of inertia?

Question 5

A particle of mass $m$ is attached to a string of length $L$ and is undergoing circular motion in a horizontal plane (conical pendulum). If the string makes an angle $ \theta $ with the vertical, what is the tension in the string?