Recent content by srekai

Yeah definitely half a period, since you pass by the equilibrium point after half a period. Since spring motion is sinusoidal, it'll start from rest, into maximum amplitude, then passes by the equilibrium point, into the compressed form, back out into the equilibrium point in one period...

Homework Statement Homework Equations Spring motion equations ##\omega = \sqrt{\frac{k}{m}}## ##KE = \frac{1}{2}k \Delta x^2## ##F = -k \Delta x## ##T = \frac{1}{f}## ##f = \frac{\omega}{2 \pi}## The Attempt at a Solution Part a is straightforward I believe. Simply combine the masses as m+M...

frfr1. Homework Statement A 15 kg uniform wooden board of length L is balanced at its center. A 6 kg object is to be placed on the right end. How far from the balance point must a 9 kg object be placed to keep the board in equilibrium? Homework Equations ##m_1d_1 = m_2d_2## The Attempt at a...

Homework Statement f f Homework Equations ##a = {v^2}{r}## ##d = vt## The Attempt at a Solution The way I do it is break it down into the curved and straight segment. The bicycle is always traveling at a constant speed. Curved portion: distance ##\frac{\pi R^2}{4}## acceleration ##=...

Homework Statement f Homework Equations Hooke's Law: F = -kx Series spring combinations: ##\frac{1}{k_{eq}} = \frac{1}{k_1}+\frac{1}{k_2}## Parallel spring combinations: ##k_{eq} = k_1+k_2## The Attempt at a Solution The slope of 1 is ##\frac{4}{5}## and the slope of 2 is ##\frac{3}{2}## I...

So, am I correct in stating that the moment of inertia is ##I = mr^2 = \frac{5M}{2} \cdot \frac{L}{2}^2##? Then, I would solve for KE = PE, where KE = ## \frac{1}{2} I \omega^2 = mgy = ## PE Thereby, I solve for ##\omega## as ##\omega = \sqrt{\frac{2mgy}{I}}##, and then v = ##r \omega =...

I did the problem, just want to validate my solution/approach 1. Homework Statement Your car happens to have a fuzzy die hanging from the rear view mirror. As you round a curve that is approximately a circle of radius R you notice that the fuzzy die makes an angle θ with the vertical. What is...

Homework Statement A solid rod of length L and mass M has a pivot through its center and is originally horizontal. Another mass 2M is then attached firmly to one end of the rod, and released. What is the maximum speed of the mass 2M attained thereafter? (Cornell 2009) Homework Equations Not...