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? $(g = 10 m / s^{2})$

20 c m

No worries! We‘ve got your back. Try BYJU‘S free classes today!

30 c m

No worries! We‘ve got your back. Try BYJU‘S free classes today!

40 c m

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

50 c m

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is D $40 c m$
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.
$\Rightarrow 2 \times w = g$
$\Rightarrow w = 5 r a d / s e c$
$∴ A = \frac{2}{5} m = 40 c m$

Suggest Corrections

Similar questions

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? $(g = 10 m / s^{2})$

Q. A block rides on a piston that is moving vertically with simple hormonic motion. The maximum speed of the piston is

2 m/s

. If maxmium acceleration of block during its motion is

a = 10 {m/s}^{2}

, then the amplitude of motion at which the block and piston separates is

Q. A block rides on a piston that is moving vertically with simple hormonic motion. The maximum speed of the piston is

2 m/s

. If maxmium acceleration of block during its motion is

a = 10 {m/s}^{2}

, then the amplitude of motion at which the block and piston separates is

Q. A block is resting on a piston which executes simple harmonic motion in vertical plain with a period of

2.0 s

.in vertical plane at an amplitude just sufficient for the block to separate from the piston .The maximum velocity of the piston is

Q. A block of mass

m

is resting on a piston as shown in the figure which is moving vertically in a SHM of period

1 s .

The minimum amplitude of motion at which the block and piston separate is :

Join BYJU'S Learning Program

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)

The correct option is D 40cmLet 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? $(g = 10 m / s^{2})$

The correct option is D $40 c m$
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.
$\Rightarrow 2 \times w = g$
$\Rightarrow w = 5 r a d / s e c$
$∴ A = \frac{2}{5} m = 40 c m$