Problems I haven’t worked out#
as well as concepts I haven’t understood
Discuss the problems below here.
Calculus#
Calculus, James Stewart, 8th edition early transcendentals
Section 3.3 (p197)#
\[
41.\;\lim_{t \to 0} \frac{\tan 6t}{\sin 2t}
\]
Section 5.5 (p419)#
\[
73.\;\int_0^1\frac{dx}{(1 + \sqrt{x})^4}
\]
Physics#
Section 1.2#
Exercise 10
Section 1.5#
Example 7
Example 8
Exercise 43
Question?
Instantaneous center of rotation vs center of rotation?
Instantaneous velocity & acceleration?
Section 2.1#
Example 5 (minimum value)
Section 2.3#
Question?
The notes claim that when using multiple moment equations to determine a static equilibrium, one should be careful to choose two independent rotation axes, but how?
Section 2.4#
Example 4
Section 5.1#
Question?
The principle of virtual work
Section 7.4#
The correct derivation for the equation for adiabatic processes (\(pV^\gamma = constant\))