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Question

Question: A block of mass 50 kg can slide on a rough horizontal surface. The coefficient of friction between t...

A block of mass 50 kg can slide on a rough horizontal surface. The coefficient of friction between the block and the surface is 0.6. The least force of pull acting at an angle of 30° to the upward drawn vertical which causes the block to just slide is

A

29.43 N

B

219.6 N

C

21.96 N

D

294.3 N

Answer

294.3 N

Explanation

Solution

For limiting condition f=μRf = \mu R

Fsin30=μ(mgFcos30)F \sin 30 ^ { \circ } = \mu \left( m g - F \cos 30 ^ { \circ } \right) , By solving F=294.3 NF = 294.3 \mathrm {~N}