a block mass 0.2 kg is suspended from the ceiling by a light string. A second block of mass 0.3 kg is suspended from the first block through another string. Find the tensions in the two strings. Take g = 10 m/s²
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let block m1=0.2
block m2=0.3
m2g-T=m2a
T-m1g=m1a
adding the above two equations
m2g-m1g=a(m1+m2)
g(0.3-0.2)=a(0.3+0.2)
g*0.1=0.5*a
10/5=a
a=2
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Answered by
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Answer:
The tensions in the two strings are 5 N and 3 N, respectively.
Explanation:
The free-body diagrams for both the blocks are given in the attachment
Given :
From the free-body diagram of the 0.3 kg block,
mass=m=0.3kg
g=10m/s²
T = 0.3g
⇒ T= 0.3 × 10 = 3 N
Now, from the free-body diagram of the 0.2 kg block,
T1 = 0.2g + T
⇒ T1= 0.2 × 10 + 3 = 5 N
∴ The tensions in the two strings are 5 N and 3 N, respectively.
Attachments:
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