Question 151: Oscillations

Question

The displacement of particle varies according to the relation
$$x=4$$$$\left( {\cos \,\pi t + \sin \,\pi t} \right).$$ The amplitude of the particle is

Accepted Answer

$$x = 4\left( {\cos \pi t + \sin \pi t} ight)$$
$$ = \sqrt 2  	imes 4\left( {{{\sin \pi t} \over {\sqrt 2 }} + {{\cos \pi t} \over {\sqrt 2 }}} ight)$$
$$x = 4\sqrt 2 \sin \left( {\pi t + {{45}^ \circ }} ight)$$

Answer

$$-4$$

Answer

$$4$$

Answer

$$4\sqrt 2 $$

Answer

$$8$$

Oscillations

The displacement of particle varies according to the relation $x=4\left( {\cos \,\pi t + \sin \,\pi t} \right).$ The amplitude of the particle is

Choose the correct answer: