As shown in the figure, two strings of length $l$ each are attached with a vertical axis $AB$ of length $l$. Strings are $AC$ and $BC$. At point $C$ a point mass m is attached. Mass rotates about axis with angular velocity. Tensions in $AB$ and $BC$ are $T_1$ and $T_2$ respectively. Choose the $CORRECT$ alternative :-
Medium
Download our app for free and get started
From the $F.B.D.$ of $m,$
$\mathrm{T}_{1}=\frac{\mathrm{m} \omega^{2} \ell}{2}+\mathrm{mg}, \mathrm{T}_{2}=\frac{\mathrm{m} \omega^{2} \ell}{2}-\mathrm{mg}$
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
- 1A block weighs $W$ is held against a vertical wall by applying a horizontal force $F$. The minimum value of $F$ needed to hold the block is $[\mu < 1]$View Solution
- 2A car is moving on a horizontal circular road of radius $0.1 \,km$ with constant speed. If coefficient of friction between tyres of car and road is $0.4$, then speed of car may be ......... $m / s$ $\left(g=10 \,m / s ^2\right)$View Solution
- 3Three blocks $A$, $B$ and $C$ of equal mass $m$ are placed on a smooth surface as shown. Coefficient of friction between any block $A, B$ and $C$ is $μ$. The maximum value of mass $D$ so the block $A, B$ & $C$ move without slipping over each other isView Solution
- 4Two blocks $A$ and $B$ of masses $6\, kg$ and $3\, kg$ rest on a smooth horizontal surface as shown in the figure. If coefficient of friction between $A$ and $B$ is $0.4$, the maximum horizontal force which can make them without separation is ........ $N$View Solution
- 5If acceleration of $A$ is $2 \,m / s ^2$ which is smaller than acceleration of $B$ then the value of frictional force applied by $B$ on $A$ is ......... $N$View Solution
- 6The blocks are given velocity in the direction shown in figure. Co-efficient of friction between two blocks shown in figure is $μ = 0.5$. Take $g = 10\ m/s^2$View Solution
(considering $4\ kg$ block doesn't fall on ground)
Consider the following statements
$(i)$ Time when relative motion between them is stopped is $1.4\ second$.
$(ii)$ Time when relative motion between them is stopped in $1.2\ second$
$(iii)$ The common velocity of the two blocks is $8\ m/s$, towards right.
$(iv)$ The displacement of the $4\, kg$ block when relative motion stopped is$10.8\ m$.
Which of the fstatements is/are correct
- 7$10\, kg$ block is placed as shown, if $F = 50$ newton find friction force ............ $N$View Solution
- 8View SolutionWhen a cube is in limiting equilibrium on an inclined plane and it is about to topple. The coefficient of friction between cube and plane is:-
- 9If a block moving up an inclined plane at $30^{\circ}$ with a velocity of $5 \,m / s$, stops after $0.5 s$, then coefficient of friction will be nearlyView Solution
- 10What is the maximum value of the force $F$ such that the block shown in the arrangement, does not move ........ $N$View Solution
