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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

1928 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

5565 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

3666 Views

(Henry VIII module) Describe the opposition that Henry VIII encountered in the years 1532-1535 to his proposed changes to the position and role of the Church and Pope in England. (20 marks)

Henry VIII intended to implement the 'Royal Supremacy' between 1532 - 1535, whereby the Pope's jurisdiction over matters in England would cease. The British Monarch would also become the Head of the Churc...

Answered by Usman A. • History tutor

5077 Views