- #1
CathyLou
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[SOLVED] Mechanics 1 help
Hi.
Could someone please help me with the following M1 level questions?
A smooth bead B is threaded on a light inextensible string. The ends of the string are attached to two fixed points A and C on the same horizontal level. The bead is held in equilibrium by a horizontal force of magnitude 6 N acting parallel to AC. The bead B is vertically below C and angle BAC = x. tan x = 3/4.
(a) Find the tension in the string.
I drew a diagram and wrote down:
Resolving horizontally:
6 - Tsinx = 0
sin x = 3/5 so T = 10 N.
However, the answer should be 7.5 N. This means that I should be using cos x but I do not understand why this is the case.
(b) Find the weight of the bead.
Would I need to resolve vertically here? If yes, could someone please help me to form the resulting equation.
I would really appreciate any help as I am really stuck at the moment.
Thank you.
Cathy
Hi.
Could someone please help me with the following M1 level questions?
A smooth bead B is threaded on a light inextensible string. The ends of the string are attached to two fixed points A and C on the same horizontal level. The bead is held in equilibrium by a horizontal force of magnitude 6 N acting parallel to AC. The bead B is vertically below C and angle BAC = x. tan x = 3/4.
(a) Find the tension in the string.
I drew a diagram and wrote down:
Resolving horizontally:
6 - Tsinx = 0
sin x = 3/5 so T = 10 N.
However, the answer should be 7.5 N. This means that I should be using cos x but I do not understand why this is the case.
(b) Find the weight of the bead.
Would I need to resolve vertically here? If yes, could someone please help me to form the resulting equation.
I would really appreciate any help as I am really stuck at the moment.
Thank you.
Cathy