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Question

Physics Question on laws of motion

Find tension in string if all surfaces are smooth and string is massless.

A

4(3+1)N4(\sqrt3+1)N

B

4(3−1)N4(\sqrt3-1)N

C

(43+1)N(4\sqrt3+1)N

D

(43−1)N(4\sqrt3-1)N

Answer

4(3+1)N4(\sqrt3+1)N

Explanation

Solution

a=(4gsin30°−1gsin60°)/5=20−53/5=(4−3)m/s2a = (4gsin 30°-1gsin 60°)/5 = 20-5\sqrt3/5 = (4-\sqrt3 )m/s2

4gsin30°–T=4a4gsin30°–T=4a

T=20−4(4−3)T = 20-4(4-\sqrt3)

=20−16+43= 20-16+4\sqrt3

=4+43=4(3+1)N= 4+4\sqrt3 = 4(\sqrt3+1)N

The correct option is(A): 4(3+1)N4(\sqrt3+1)N