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A block of mass M lies stationary on a rough plane inclined at an angle x to the horizontal. Find a general expression relating the coeffecient of friction between the block and the plane and the angle x. At what angle does the box begin to slide?

The first step to any problem is to draw a suitable diagram. Here we draw a free body diagram, marking the angle x, the friction force F, normal reaction force N and weight of the block Mg. "Stat...

Answered by Elliot G. Maths tutor
2265 Views

A particle, P, moves along the x-axis. At time t seconds, t > 0, the displacement, is given by x=1/2t^2(t ^2−2t+1).

Find the times when is instantaneously at rest.In order to solve this question we first have to multiply out in order to obtain the full expression of x which will be x = 1/2t^4 -2t^3+1/2t^2. N...

Answered by Aleksander K. Maths tutor
16553 Views

Comound interest: A car is bought for the price of £12 000, but its value depreciates every year by 8%. Calculate, how much will the car be worth in 5 years

The question states the value of the car depreciates every year by 8%. This means that from the original, 100% value of the car in a set year, every consecutive year the value will decrease by 8% so that ...

Answered by Victoria B. Maths tutor
3454 Views

How to find LCM and HCF of two numbers

Take numbers 24 and 36 for example.First we'd need to find the prime factors of each of the two numbers which can be done through factor trees24 = 23x 336 = 22 x 32What we...

Answered by Nafi I. Maths tutor
2347 Views

Given that 3cm and 4cm are the shorter sides of a right-angled triangle, find the length of the hypotenuse.

When given 2 known sides of a right angled triangle, we can use Pythagoras' Theorem to find the last unknown side. The formula follows as below:A2 = B2 + C2Where A represe...

Answered by Hamzah H. Maths tutor
4236 Views

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