three blocks of masses M1 equals to 1 kg M2 equals to 1.5 kg and 3 equals to 2 kg in contact with each other on a frictionless surface as shown in figure find the horizontal force f needed to push the blocks as a single you need with an acceleration of 4 metre second square resultant force on each block and magnitude of contact forces between blocks
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4
Answer:
Explanation:
let blocks of masses m1 = 3kg, m2 = 2 kg and m3 = 5 kg areplaced on inclined plane as shown in figure.
if F is the force required to push the blocks up with acceleration 2 m/s2 , then we have, F - (10×10×sin30) = F - 50 = 10×2
Hence F = 70 N
Contact force between m1 and m2 = 3×cos30 ≈ 2.6 N
Contact force between m2 and m3 = 5×cos30 ≈ 4.3 N
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Total horizontal force =
F = m1+m2+m3
= 1+1.5+2
=4.5 N
resultant force on each block =
F1 = m1×a
= 1×4=4 N
F2=m2×a
= 1.5×4=6 N
F3= m3 × a
= 2×4=8 N
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