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 (\(pV^\gamma = constant\))