A mass is supported on a frictionless horizontal surface. It is attached to a string and rotates about a fixed centre at an angular velocity ${\omega _0}$. If the length of the string and angular velocity are doubled, the tension in the string which was initially ${T_0}$ is now
AIIMS 1985, Easy
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1The minimum force required to start pushing a body up a rough (frictional coefficient $\mu$) inclined plane is $F _{1}$ while the minimum force needed to prevent it from sliding down is $F _{2}$. If the inclined plane makes an angle $\theta$ from the horizontal such that $\tan \theta=2 \mu$, then the ratio $\frac{F_{1}}{F_{2}}$ isView Solution
- 2A small block starts slipping down from a point $B$ on an inclined plane $A B,$ which is making an angle $\theta$ with the horizontal section $BC$ is smooth and the remaining section $CA$ is rough with a coefficient of friction $\mu .$ It is found that the block comes to rest as it reaches the bottom (point $A)$ of the inclined plane. If $B C=2A C$, the coefficient of friction is given by $\mu=k \tan \theta$ .The value of $k$ isView Solution
- 3A system consists of three masses $m_1 , m_2$ and $m_3$ connected by a string passing over a pulley $P.$ The mass $m_1$ hangs freely and $m_2$ and $m_3$ are on a rough horizontal table $($the coefficient of friction $= \mu ).$ The pulley is frictionless and of negligible mass. The downward acceleration of mass $m_1$ is $(Assume\, m = m_2 = m_3 = m)$View Solution
- 4A stone of mass of $16\, kg$ is attached to a string $144 \,m$ long and is whirled in a horizontal circle. The maximum tension the string can withstand is $16$ Newton. The maximum velocity of revolution that can be given to the stone without breaking it, will be ....... $ms^{-1}$View Solution
- 5View SolutionA car is moving with high velocity when it has a turn. A force acts on it outwardly because of
- 6A circular road of radius $1000 \,m$ has banking angle ${45^o}$. The maximum safe speed of a car having mass $2000 \,kg$ will be, if the coefficient of friction between tyre and road is $0.5$ ....... $m/s$View Solution
- 7A road is banked at an angle of $30^o$ to the horizontal for negotiating a curve of radius $10\sqrt 3 m$. At what velocity will a car experience no friction while negotiating the curve? ............... $km/hr$View Solution
- 8In figure, two blocks $M$ and $m$ are tied together with an inextensible and light string. The mass $M$ is placed on a rough horizontal surface with coefficient of friction $\mu$ and the mass $m$ is hanging vertically against a smooth vertical wall. The pulley is frictionless. Imagine a situation in which the given arrangement is placed inside an elevator that can move only in the vertical direction and compare the situation with the case when it is placed on the ground. When the elevator accelerates downward with $a_0( < g)$, thenView Solution
- 9For the given figure find acceleration of $40\, kg$ block ........ $m/s^2$View Solution
- 10A block of mass $2\,kg$ moving on a horizontal surface with speed of $4\,ms ^{-1}$ enters a rough surface ranging from $x =0.5\,m$ to $x =1.5\,m$. The retarding force in this range of rough surface is related to distance by $F =- kx$ where $k =12\,Nm ^{-1}$. The speed of the block as it just crosses the rough surface will be ........... $\,ms ^{-1}$View Solution