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Mechanics inclination problem

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Well if we have the Opposite and the Adjacent of a right-angled triangle we can use Pythagoras to find the length of the Hypotenuse

Thank you so much!! 😊😊

Reply 21

KaylaB

Original post by Gemma_98

Thank you so much!! 😊😊

No problem :h:

Happy to be of service :hat2:

Reply 22

Zacken

Original post by KaylaB

I still seem to to be getting the same value for a, and thus the final answer :s-smilie:

I'll work through it in a sec and let you know.

Reply 23

KaylaB

Original post by Zacken

I'll work through it in a sec and let you know.

Is it not like 2:40am where you are, do you not require sleep?

Spoiler

Reply 24

Zacken

Original post by KaylaB

Is it not like 2:40am where you are, do you not require sleep?

Spoiler

Ssshhh.

Okay, so resolving down the plane:

15g\sin \theta - T = 15a

for the first particle and resolving vertically up for the second particle:

T - 10g = 10a

.

Adding these:

25a = 15g\sin \theta - 10g \Rightarrow a \approx -3.8

- can you take it from here?

Reply 25

KaylaB

Original post by Zacken

Ssshhh.

Okay, so resolving down the plane:

15g\sin \theta - T = 15a

for the first particle and resolving vertically up for the second particle:

T - 10g = 10a

.

Adding these:

25a = 15g\sin \theta - 10g \Rightarrow a \approx -3.8

- can you take it from here?

Yeah I can finish it, but I have a question. I made both of those equations but I substituted in 10g-10a for T instead of adding them, how come you can just add them like that or am I just really tired?

Reply 26

Zacken

Original post by KaylaB

If you have two equations:

a+b = c

2a + 3b = 5c

you are allowed to substitute things in to solve. Or you can add both of them or subtract both of them or divide both of them, etc...

So if you add this is valid and you get

3a + 4b = 6c

.

You can test this out:

5 + 3 =8

and

7-5 = 2

5 +3 + 7 -5 = 10 = 8 + 2

which is true, etc...

Reply 27

KaylaB

Original post by Zacken

If you have two equations:

a+b = c

2a + 3b = 5c

you are allowed to substitute things in to solve. Or you can add both of them or subtract both of them or divide both of them, etc...

So if you add this is valid and you get

3a + 4b = 6c

.

You can test this out:

5 + 3 =8

and

7-5 = 2

5 +3 + 7 -5 = 10 = 8 + 2

which is true, etc...

Ah okay cheers :hat2:

, now rest that giant brain of yours.

Reply 28

Zacken

Original post by KaylaB

Ah okay cheers :hat2:

, now rest that giant brain of yours.

You two, Mrs. "am I really tired? Yes you are.". :tongue:

Reply 29

KaylaB

Original post by Zacken

You two, Mrs. "am I really tired? Yes you are.". :tongue:

Touché

Reply 30

Zacken

Original post by KaylaB

Touché

On the other hand, I just spelt "too" as "two" so...

Reply 31

KaylaB

Original post by Zacken

On the other hand, I just spelt "too" as "two" so...

I was being nice and wasn't going to mention it :laugh:

, you just have numbers on the brain :tongue:

Reply 32

Zacken

Original post by KaylaB

I was being nice and wasn't going to mention it :laugh:

, you just have numbers on the brain :tongue:

I appreciate it. Let's not make fun of Zacken the illiterate dumbo. Lol jk let's totally make fun of Zacken the illiterate dumbo, it'll be hilarious. :lol: