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m1 question plz help

plz help me with the following q as i have no clue how to answer the q

a particle A of mass 0.5kg rests on a smooth inclined plane of angle arcsin 3/5. A light inextensible string is attatched to this particle and passes over a smooth pulley at the top of the plane. A particle B of mass mkg hangs freely from the other end of the string. The system is released from rest with the string taut. Particle B desends 1m in 1s. Find the value of m and the tension in the string.

thanx x
Reply 1
Avatar for VCVT17
VCVT17
2
Sorry I can't draw a diagram for you but I hope you can imagine it:

The first equation for system.

Applying Newton's second law for particle A, we have:
T - mA*g*sin(Alpha) = mA*a
with T: tension of string, a is acceleration of system

Applying Newton's second law for particle B, we have:
mB*g - T = mB*a

Find acceleration of system is 1 ms^-2
Therefore,
mB*g - mA*g*sin(Alpha) = (mA+mB)

You can find m and tension after that..

Hope you will substitute numbers correctly;
Reply 2
Avatar for charna
charna
OP
yea thanx i realy aint good at mechanics da only reason im doin maths stil is coz i find da core modules easy anyways thanx 4 tryin 2 help me but i guess im gona hav 2 get a tutor or someting

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