Recent content by frazdaz

Qin = extra thermal energy the steam has over the milk + heat to be released when the steam condenses Qout = heat lost from the steam + heat gained by milk

Homework Statement Homework Equations Q = m c \Delta T \\ Q = m L_v \\ Q_{in} = Q_{out} The Attempt at a Solution m_s c_s (100 - 8) + m_s L_v = m_s c_s (100 - T) + m_m c_s (T) \\ 5778.06 + 33900 = 5778.06 - 62.805 T + 418.7 T \\ 33900 = 355.895 T \\ ∴ T = 95.25°C Answer should...

F=Eq

Well that's good news. And, yeah, I guess it's just intended to help with the maths side of things.

The answers have I1 and I2 with opposite signs. I get them both as positive.

Homework Statement Homework Equations \sum I_{in} = \sum I_{out} \sum \epsilon = \sum pd The Attempt at a Solution Can anyone identify any mistakes in these? Probably signs I = I_1 + I_2 12=4I_1 +3I 5=4I_1 - 2I_2 12-5=2I_2+3I

The point at which the automobile leaves the bridge is when it's no longer in contact with the bridge i.e. there is no normal force. There's no force preventing it going through the bridge because it isn't in contact with it.

How would it slip if the linear acceleration smaller than the RHS? I can picture the ball accelerating so quickly that it begins to slip, but not the other way around.

Does that work as an inequality? i.e. object won't slip providing as long as this holds true a \leq \alpha r

Ahhh, of course. Thank you! I take it the tangential acceleration is in the direction of the linear velocity? And is the radial acceleration just the centripetal acceleration?

I've just never seen that before. mgrsin\theta = \frac{7mr^2}{5} \frac{g}{5} sin\theta = \frac{7r}{25} Does it want it in terms of r or have I gone wrong? \theta = sin^{-1}(\frac{7r}{25})

Like this? (found from one of your posts) a_t= \alpha r

Homework Statement A uniform solid sphere rolls down an incline without slipping. If the linear acceleration of the centre of mass of the sphere is 0.2g, then what is the angle the incline makes with the horizontal? Repeat for a thin spherical shell. Homework Equations \sum \tau = I \alpha...