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Mechanical Properties of Fluids

Applications of Bernoulli's Theorem

A solid sphere of mass m=2 {~kg} and specific gravity s=0.5 is

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Solving time: 3 mins

A solid sphere of mass $m = 2 kg$ and specific gravity $s = 0.5$ is held stationary relative to a tank filled with water as shown in figure-7.35. The tank is accelerating vertically upward with acceleration $a = 2 m / s^{2}$ . (a) Calculate tension in the thread connected between the sphere and the bottom of the tank. (b) If the thread snaps, calculate acceleration of sphere with respect to the tank. Take density of water is $ρ = 1000 kg / m^{3}$ and $g = 10 m / s^{2}$

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Physics Galaxy Mechanics Vol 1 (Ashish Arora)

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A solid sphere of mass

m = 2 kg

and specific gravity

s = 0.5

is held stationary relative to a tank filled with water as shown in figure-7.35. The tank is accelerating vertically upward with acceleration

a = 2 m / s^{2}

. (a) Calculate tension in the thread connected between the sphere and the bottom of the tank. (b) If the thread snaps, calculate acceleration of sphere with respect to the tank. Take density of water is

ρ = 1000 kg / m^{3}

and

g = 10 m / s^{2}

15 mins ago

Discuss this question LIVE

15 mins ago

Text solutionVerified

(a) For equilibrium of sphere, we use

m (g + a) + T T = (\frac{m}{ρ}) ρ_{ω} (g + a) = (g + a) (\frac{ρ _{ω}}{ρ} - 1) = 2 \times 12 [\frac{1000}{500} - 1] = 24 N

(b) As thread snaps acceleration of sphere is

a = (g + a) [\frac{ρ _{ω}}{ρ} - 1] = 12 m / s^{2}

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Question Text	A solid sphere of mass $m = 2 kg$ and specific gravity $s = 0.5$ is held stationary relative to a tank filled with water as shown in figure-7.35. The tank is accelerating vertically upward with acceleration $a = 2 m / s^{2}$ . (a) Calculate tension in the thread connected between the sphere and the bottom of the tank. (b) If the thread snaps, calculate acceleration of sphere with respect to the tank. Take density of water is $ρ = 1000 kg / m^{3}$ and $g = 10 m / s^{2}$
Topic	Mechanical Properties of Fluids
Subject	Physics
Class	Class 11
Answer Type	Text solution:1
Upvotes	72

Text solutionVerified

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