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A 80kg man is hanging from two 1.5m ropes that lie at 60 degrees from the horizontal. What is the tension in each rope required to prevent the man from dropping?

The man is 80kg so the downward force exerted by his weight is 80g (where g is the force of gravity equalling 9.8 Newtons (2dp)). Therefore the upward force exerted by each rope must equal 40g. Using tri...

Answered by Dominic D. • Physics tutor

1814 Views

Differentiate y=x^2 from first principles

y=x²dy/dx= Lim_h-->0( ((x+h)²-x²) / (x+h-x) )dy/dx= Lim_h-->0( (x² + 2hx + h² - x²) / h )dy/dx= Lim_h-->0...

Answered by Dipayan C. • Maths tutor

5370 Views

A line has Cartesian equations x−p = (y+2)/q = 3−z and a plane has equation r ∙ [1,−1,−2] = −3. In the case where the angle θ between the line and the plane satisfies sin⁡θ=1/√6 and the line intersects the plane at z = 0. Find p and q.

This question gives hints as to how you should solve it. Because it tells you the angle between the line and the plane, this should indicate that doing something to do with finding the angle between the l...

Answered by Joss O. • Further Mathematics tutor

3481 Views

Was machst du in deiner Freizeit?

Also, wenn ich Zeit habe, spiele ich Fußball mit meinem Bruder und lese ich viele Bücher. Manchmal fahre ich auch mit dem Rad und besuche ich meine Freunde- wir gehen auch oft in die Stadt, damit wir zusa...

Answered by Ronan F. • German tutor

14071 Views

How to find the turning point on a curve?

The equation of the curve will be a quadratic i.e. it follows the form y=ax²+bx+cTo find the turning point, the quadratic will need to be solved using the completing the square method. This me...

Answered by Muhammad V. • Maths tutor

3890 Views