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A mass of 3kg rests on a rough plane inclined at 60 degrees to the horizontal. The coefficient of friction is 1/5. Find the force P acting parallel to the plane applied to the mass, in order to just prevent motion down the plane.

Firstly draw a diagram of the problem.Then resolve the forces into their components parallel and perpendicular to the plane.Resolving parallel: P + Fmax = 3gsin(60) equation 1.Resolving perpendicular: R = 3g...
JM
Answered by Jonathan M. • Maths tutor
5058 Views

Consider the infinite geometric sequence 25 , 5 , 1 , 0.2 , ... (a) Find the common ratio. (b) Find (i) the 10th term; (ii) an expression for the nth term. (c) Find the sum of the infinite sequence.

QUESTION (a) R = U(n+1)/U(n ) = 5/25= 0.2(b) (i) U(10) = 25 x (1/5)^9 = 0.0000128 (ii) U(n) = 25 x (1/5)^(n-1)(c) S = U(1)/(1-r) = 25/(1-(1/5))=25/(4/5))=125/4=31.25
CR
Answered by Carlota R. • Maths tutor
6633 Views

Differentiate x^3⋅cos(5⋅x) with respect to x.

In order to solve this problem we will have to use the product rule as follows: d/dx[x^3⋅cos(5⋅x)]=[d/dx(x^3)]⋅cos(5 x)+(x^3)⋅[d/dx[cos(5 x)]]=(3⋅x^2)⋅cos(5⋅x)+(x^3)⋅−5⋅sin(5⋅x )=3⋅x^2⋅cos(5⋅x)−5⋅x^3⋅sin(5⋅x)
TL
Answered by Tianyu L. • Maths tutor
6558 Views

how do i make the past tense?

To form the past tense we need to know 3 things: whether we need to use avoir or etre, how to conjugate avoir or etre and the past participle of the verb that we want to be in the past tense.So the first ste...
EK
Answered by Ellie K. • French tutor
2354 Views

What are the key things to include in an introduction for an essay?

It is important to lay out your judgement with regard to the question whatever it may be, be concise and clear about where you stand. If there are any key terms or ideas that need explaining, it is a good id...
LB
Answered by Lucy B. • History tutor
2703 Views