Question 148: Laws of Motion

Question

A block rests on a rough inclined plane `making an angle of $${30^ \circ }$$ with the horizontal. The coefficient of static friction between the block and the plane is $$0.8.$$ If the frictionless force on the block is $$10$$ $$N,$$ the mass of the block (in $$kg$$) is $$\left( {take\,\,\,g\, = \,10\,\,m/{s^2}} \right)$$

Accepted Answer

For equilibrum of block,
$$mg\,\,\sin 	heta  = {f_s}\,\,$$
$$ \Rightarrow m 	imes 10 	imes \sin {30^ \circ } = 10$$
$$ \Rightarrow m 	imes 5 = 10$$
$$ \Rightarrow m = 2.0\,\,kg$$

Answer

$$1.6$$

Answer

$$4.0$$

Answer

$$2.0$$

Answer

$$2.5$$

Laws of Motion

A block rests on a rough inclined plane `making an angle of ${30^ \circ } with the horizontal. The coefficient of static friction between the block and the plane is 0.8. If the frictionless force on the block is 10 N, the mass of the block (in kg) is \left( {take\,\,\,g\, = \,10\,\,m/{s^2}} \right)

Choose the correct answer: