Top answers


A particle of mass M is being suspended by two ropes from a horizontal ceiling. Rope A has a tension of 15N at 30 deg and rope B has a tension of xN at 45 deg, find M assuming the particle remains stationary.

This is a classic "picture frame" resolving forces question. By resolving horizontally we can use the "assuming the particle remains stationary" meaning the forces must cancel out, so, xC...
Answered by Maths tutor
3773 Views

y = (3t + 1)/p, Where t = 3, and y = 2, what is the value of p?

Firstly, we need to make the unknown variable(p) the subject of the formula. As this is the denominator of a fraction we can multiply both sides of the equation to get rid of the denominator on the right han...
LP
Answered by Louis P. Maths tutor
4275 Views

Integrate (x+2)/((x+5)(x-7)) using partial fractions between the limits 5 and -2, giving your answer to 3sf

First, we're going to split this 1 fraction into 2 fractions. Let (x+2)/((x+5)(x-7)) = A/(x+5) + B/(x-7) then multiplying by (x+5)(x-7) gives A(x - 7) + B(x + 5) = x + 2 multiplying this out we achieve Ax - ...
Answered by Maths tutor
3336 Views

write 36 as a product of its prime factors

a prime number is a number which is only divisible by itself and one e.g 2, 3 , 5, 7when writing a number (in this example 36) as a "product of its prime factors" you need to find the prime numbers...
BA
Answered by Bilal a. Maths tutor
11994 Views

The quadratic equation (k+1)x^2 + (5k-3)x + 3k = 0 has equal roots, find the possible values of the real number k.

Given that the equation is quadratic and has two distinct roots , this implies that the discriminant (b 2 - 4ac) in the quadratic formula is equal to zero. Comparing terms a = (k+1), b = (5k -3) and c = 3k, ...
AL
Answered by Adam L. Maths tutor
5345 Views