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A 10 kg box on a platform which is inclined at 10 degree to the horizontal. The box is at rest relative to the platform. The platform is lowered with a speed increasing at 1.0 m/s2. What is the magnitude of the reaction force of the platform on the box?

Re: HSC 2013 4U Marathon

Re: HSC 2013 4U Marathon I was misled by the diagram.

Re: HSC 2013 4U Marathon PQ is a tangent, so PQM is a right angle. Without stating the obvious, PM > PQ. PM = PQ when the radius = 0.

x^2/a^2 - y^2/b^2 is not an equation

Re: HSC 2013 4U Marathon i) y=f(x) intersect y=x at least once ii) no, y=f(x) can be wholely above or below y=x

Re: HSC 2013 4U Marathon isn't it subjective?

Re: HSC 2013 4U Marathon I don't think there are non-zero real numbers x, y and z satisfying x + y + z = 1/x + 1/y + 1/z = 0. If there are such real numbers, what are they?

|z-4-3i| = 3 is a circle of radius 3, and its centre is 5 units from (0,0). So the closest z is 2 units from (0,0). Show your algebra work?

Re: HSC 2013 3U Marathon Thread

Re: HSC 2013 4U Marathon x,y,z are non-zero complex numbers?

Re: HSC 2013 4U Marathon

Re: HSC 2013 4U Marathon what is very nice? the solution or the question?

Re: HSC 2013 4U Marathon u, v and w are the roots of (sqrt2)z^3 = 1+i. Show that (1+u)/(1-u), (1+v)/(1-v) and (1+w)/(1-w) are collinear.

Re: HSC 2013 4U Marathon (1-z)(1+z) / (1+z)(1+z) If |z|=1, the numerator is imaginary, the denominator is real so the real part of the fraction is zero.

Re: HSC 2013 4U Marathon (x-1)(x-3)(x-6)(x-9)=252, find x

Re: HSC 2013 4U Marathon 3x4x5x6=360, work from there

Re: HSC 2013 4U Marathon What you have worked out is not the answer to the question. Your answer is for forming a right angled triangle. Now I see why the probability is so low.