# A block rests on a rough inclined plane making an  angle of 30o with the horizontal. The coefficient of static friction between the block and the plane is 0.8 . If the frictional force on the block is 10 N , the mass of the block (in kg) is .(take g = 10 m/s2 ) Option 1) 2.0 Option 2) 4.0 Option 3) 1.6 Option 4) 2.5

As we learnt in

Static Friction -

Self adjusting force because it changes itself according with the applied force.

- wherein

It always equal to net external force. Static friction (F = P) using diag.

For equilibrium of block,

$f=mg\sin \Theta$

$\therefore \: \: 10= m\times 10\times \sin 30^{\circ}$

$or\: \: \: \: m=2kg$

Correct option is 1.

Option 1)

2.0

This is the correct option.

Option 2)

4.0

This is an incorrect option.

Option 3)

1.6

This is an incorrect option.

Option 4)

2.5

This is an incorrect option.

Option 1) 2.0

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