m1 q on pulleys

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

Aitch

2

charna

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

Put this in the Maths Forum!

Aitch

Reply 2

dvs

10

B descends 1m in 1s, so:
s = ut + 0.5at²
1 = 0 + 0.5a => a = 2

F=ma gives:
Particle B: mg - T = ma => T = mg - 2m (1)
Particle A: T - 0.5gsin(arcsin 3/5) = 0.5a => T = 0.5a + 0.5gsin(arcsin 3/5) = 1 + (3/10)g (2)

(1) - (2):
0 = mg - 2m - 1 - (3/10)g
2m - mg = m(2-g) = - 1 - (3/10)g
m =~ 0.505m

From (2) you can get:
T =~ 3.94N

Reply 3

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2

Aitch

Put this in the Maths Forum!

Aitch

At A, down slope = 0.5g sin t = 2.94
At A, T - 2.94 = 0.5 a

Get a = acceleration from given distance, time, u=0 gives a = 2

At A, T - 2.94 = 0.5 *2
T = 3.94

At B
mg -T = 2m
mg - 3.94 = 2m
3.94 = m(g-2)
m = .505

Aitch

Reply 4

Aitch

2

charna

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