A bucket tied at end of a 1.6, m long string is whirled in a vertical circle with constant speed. Wh

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4-1.Newton's Laws of Motion

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A bucket tied at the end of a $1.6\, m$ long string is whirled in a vertical circle with constant speed. What should be the minimum speed so that the water from the bucket does not spill, when the bucket is at the highest position ............ $m/sec$ (Take $g = 10\, m/sec^2$)

$4$

$6.25$

$16$

None of the above

Solution

$\begin{aligned} \frac{\mathrm{mV}^{2}}{\mathrm{r}}=\mathrm{mg} & & \mathrm{V}=\sqrt{\mathrm{rg}}=\sqrt{1.6 \times 10} \\ & \mathrm{V}=4 \mathrm{m} / \mathrm{s} \end{aligned}$

Standard 11

Physics

Three blocks, $A, B$ and $C,$ of masses $4\,kg, 2\,kg$ and $1\,kg$ respectively, are in contact on a frictionless surface, as shown. If a force of $14\,\,N$ is applied on the $4\,\,kg$ block, then the contact force between $A$ and $B$ is ……. $N$

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Block of $3\,kg$ is initially in equilibrium and is hanging by two identical springs $A$ and $B$ as shown in figures. If spring $A$ is cut from lower point at $t=0$ then, find acceleration of block in $ms ^{-2}$ at $t =0$.

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A particle of mass $2\, kg$ is initially at rest. A force acts on it whose magnitude changes with time. The force time graph is shown below. The velocity of the particle after $10\, s$ is ……… $ms^{-1}$

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A mass $M$ is suspended by a rope from a rigid support at $A$ as shown in figure. Another rope is tied at the end $B$, and it is pulled horizontally with a force $…….$ with the vertical in equilibrium, then the tension in the string $AB$ is :

normal

Block $B$ moves to the right with a constant velocity $v_0$. The velocity of body $A$ relative to $B$ is:

normal

A bucket tied at the end of a $1.6\, m$ long string is whirled in a vertical circle with constant speed. What should be the minimum speed so that the water from the bucket does not spill, when the bucket is at the highest position ............ $m/sec$ (Take $g = 10\, m/sec^2$)

Solution

Similar Questions

Three blocks, $A, B$ and $C,$ of masses $4\,kg, 2\,kg$ and $1\,kg$ respectively, are in contact on a frictionless surface, as shown. If a force of $14\,\,N$ is applied on the $4\,\,kg$ block, then the contact force between $A$ and $B$ is ……. $N$

Block of $3\,kg$ is initially in equilibrium and is hanging by two identical springs $A$ and $B$ as shown in figures. If spring $A$ is cut from lower point at $t=0$ then, find acceleration of block in $ms ^{-2}$ at $t =0$.

A particle of mass $2\, kg$ is initially at rest. A force acts on it whose magnitude changes with time. The force time graph is shown below. The velocity of the particle after $10\, s$ is ……… $ms^{-1}$

A mass $M$ is suspended by a rope from a rigid support at $A$ as shown in figure. Another rope is tied at the end $B$, and it is pulled horizontally with a force $…….$ with the vertical in equilibrium, then the tension in the string $AB$ is :

Block $B$ moves to the right with a constant velocity $v_0$. The velocity of body $A$ relative to $B$ is:

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