In the given figure shown (see the attachment) , two blocks, one of mass 5kg and the other of mass 2kg are connected by a light and inextensible string. Pulleys are light and frictionless. Find acceleration of both the bodies as well as the tension in the string.
Answers
Given▶
m1 = 2kg
m2 = 4kg
g = 10
Let T be the tension in the string due to the two masses!
we have!
weight of 2kg block < Tension in the string!
this can be represented as
T - m1(g) = ==(1)
SIMILARLY,
weight of 4kg block is greater than Tension in the string , it is given by!
m2(g) - T = =(2)
Note!!
____________
We are subtracting the tension from the weight because both are acting in opposite direction i.e, weight acting in downwards , while Tension acting along the length!.
____________
subtracting equation (1)&(2)
T - m1(g) =
-T + m2(g) =
we get!
g(m2 - m1) = a(m2+m1)
10(4-2) = a (4+2)
= a
a =
a = 3.33
substituting values of 'a' in equation (1), we get!
T = m1(g)+ m1(a)
T = m1(g+a)
= 2(10+3.33)
=
= 26.66N is the tension in the string!
and the acceleration of the masses is
3.33
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Answer:
3.33
Explanation:
Given : two blocks, one of mass 5kg and the other of mass 2kg are connected by a light and inextensible string. Pulleys are light and frictionless.
To find : Find acceleration of both the bodies as well as the tension in the string.
Solution :
m1 = 2kg
m2 = 4kg
g = 10
Let T be the tension in the string due to the two masses!
we have!
weight of 2kg block < Tension in the string!
this can be represented as
T - m1(g) = ==(1)
SIMILARLY,
weight of 4kg block is greater than Tension in the string , it is given by!
m2(g) - T = =(2)
We are subtracting the tension from the weight because both are acting in opposite direction i.e, weight acting in downwards , while Tension acting along the length!.
subtracting equation (1)&(2)
T - m1(g) =
T + m2(g) =
we get!
g(m2 - m1) = a(m2+m1)
10(4-2) = a (4+2)
a = 3.33
substituting values of 'a' in equation (1), we get!
T = m1(g)+ m1(a)
T = m1(g+a)
= 2(10+3.33)
= 26.66N is the tension in the string!
and the acceleration of the masses is 3.33
=3.33
=3.33 Is the correct answer of this question .
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