A block rides on a piston that is moving vertically with simple harmonic motion. The maximum speed of the piston is 2 m/s. At what minimum amplitude of motion will the block and piston separate? $(g = 10 m / s^{2})$

Question

Toppr Admin · Accepted Answer

Let -xA0-A -xA0-be-xA0- amplitudeNow- maximum-xA0- speed-xA0- of-xA0- piston -2m-s-x2234-wA-2m-sIf w2A-g then-xA0- they-xA0- will separate-x21D2-2-xD7-w-g-x21D2-w-5rad-sec-x2234-A-25m-40cm

A block rides on a piston that is moving vertically with simple harmonic motion. The maximum speed of the piston is $2 m / s$ . At what amplitude of motion will the block and piston separate? $(g = 10 m / s^{2})$
$30 c m$
$50 c m$
$20 c m$
$40 c m$

Let $A$ be amplitude
Now, maximum speed of piston $= 2 m / s$
$∴ w A = 2 m / s$
If $w^{2} A = g$ then they will separate.
$\Rightarrow 2 \times w = g$
$\Rightarrow w = 5 r a d / s e c$
$∴ A = \frac{2}{5} m = 40 c m$

A block rides on a piston that is moving vertically with simple harmonic motion. The maximum speed of the piston is 2m/s. At what amplitude of motion will the block and piston separate? (g=10m/s2)30cm50cm20cm40cm

Let A be amplitudeNow, maximum speed of piston =2m/s∴wA=2m/sIf w2A=g then they will separate.⇒2×w=g⇒w=5rad/sec∴A=25m=40cm

A block rides on a piston that is moving vertically with simple harmonic motion. The maximum speed of the piston is $2 m / s$ . At what amplitude of motion will the block and piston separate? $(g = 10 m / s^{2})$
$30 c m$
$50 c m$
$20 c m$
$40 c m$

Let $A$ be amplitude
Now, maximum speed of piston $= 2 m / s$
$∴ w A = 2 m / s$
If $w^{2} A = g$ then they will separate.
$\Rightarrow 2 \times w = g$
$\Rightarrow w = 5 r a d / s e c$
$∴ A = \frac{2}{5} m = 40 c m$