Answer:
ω = √((3g/L)*(1 - Cos θ))
Step-by-step explanation:
We need to apply the Principle of Conservation of mechanical energy as follows
Ei = Ef ⇒ Ki + Ui = Kf + Uf
In the vertical position
ωi = 0 ⇒ Ki = 0
yi = L/2 ⇒ Ui = m*g*L/2
We can get the rotational inertia I using the formula
I = m*L²/3
then
Kf = I*ω²/2 = (m*L²/3)*ω²/2 = m*L²*ω²/6
Now, we obtain the potential energy Uf as follows
Uf = m*g*y
where
y = (L/2)*Cos θ
⇒ Uf = m*g*(L/2)*Cos θ
Now, we have
Ui = Kf + Uf
⇒ m*g*L/2 = (m*L²*ω²/6) + (m*g*(L/2)*Cos θ)
⇒ ω² = (3g/L)*(1 - Cos θ)
⇒ ω = √((3g/L)*(1 - Cos θ))
We need to know the coefficient of static friction in order to get the value of theta where slip takes place.
<em>add x to both sides</em>
<em>divide both sides by 5</em>
It's the equation of a line. We need only two points to the plot the graph.
Choice any two values of x. Put them to the equation of a line and calculate the values of y.
for x = 0:
for x = 5:
Answer: b
Step-by-step explanation:
anser is b
The equation for direct variation is y=kx where k is the constant of variation.
A. 170 students out of the 230 students love both biking and skating (to make it easier, the percentage is about 0.74).
I am sorry if I cannot solve the other half of your question