Question

please solve and answer please​

Answer 1

Answer:

Here, g is acceleration due to gravity

gm unit of mass in CGS unit.

kg is kilogram, unit of mass in SI unit

T1 is the tension on the string connecting A and B

T2  is the tension on the string connecting B and C

a is the acceleration of the system.

-----------------------------------------------------------------------------------

Now write the equation of motion for the three masses.

for mass C,

(0.5 kg)g−T  

2

​  

=0.5 kg(a)

0.5g−T  

2

​  

=0.5a ------------------------------------(1)

for mass B,

T  

2

​  

−(0.1 kg)g(sin(30  

∘

))−T  

1

​  

=0.1 kg(a)

T  

2

​  

−0.1g(sin(30  

∘

))−T  

1

​  

=0.1a -----------------(2)

for mass A,

T1 --- (0.05 kg)g=0.05 kg(a)

T1−0.05g=0.05a --------------------------------(3)

Now, add equation (3) and (2).

T  

2

​  

−0.05g−0.1g(sin(30  

∘

))=0.1a+0.05a

T  

2

​  

−0.05g−0.1g(sin(30  

∘

))=0.15a ------------(4)

Now add equation (4) and (1).

0.5g−0.05g−0.1g(sin(30  

∘

))=0.15a+0.5a

0.5g−0.05g−0.1g(sin(30  

∘

))=0.65a

a=  

0.65

0.5g−0.05g−0.1g(sin(30∘))

​  

 

a=6.03 m/s  

2 ))

 

so, the acceleration of 500 gm mass is a=6.03 m/s  

2  in the downward direction.

This is your answer

Hope this helps

Explanation: