A uniform rope of mass $1.0\, kg$ is connected with a box of mass $2.0\, kg$, which is placed on a smooth horizontal surface. The free end of the rope is pulled horizontally by a force $6\, N$. Find the tension at the midpoint of the rope. ............ $N$
A uniform rope of mass $1.0\, kg$ is connected with a box of mass $2.0\, kg$, which is placed on a smooth horizontal surface. The free end of the rope is pulled horizontally by a force $6\, N$. Find the tension at the midpoint of the rope. ............ $N$
- A
$4 $
- B
$1$
- C
$5 $
- D
$2$
Similar Questions
Two blocks $'A$' and $'B'$ each of mass $'m'$ are placed on a smooth horizontal surface. Two horizontal force $F$ and $2F$ are applied on the $2$ blocks $'A'$ and $'B'$ respectively as shown in figure. The block $A$ does not slide on block $B$. Then the normal reaction acting between the two blocks is
Two blocks $'A$' and $'B'$ each of mass $'m'$ are placed on a smooth horizontal surface. Two horizontal force $F$ and $2F$ are applied on the $2$ blocks $'A'$ and $'B'$ respectively as shown in figure. The block $A$ does not slide on block $B$. Then the normal reaction acting between the two blocks is
What force should be applied on the wedge so that block over it does not move? (All surfaces are smooth)
What force should be applied on the wedge so that block over it does not move? (All surfaces are smooth)
A block of mass $m_1=1 \ kg$ another mass $m_2=2 \ kg$, are placed together (see figure) on an inclined plane with angle of inclination $\theta$. Various values of $\theta$ are given in List $I$. The coefficient of friction between the block $m _1$ and the plane is always zero. The coefficient of static and dynamic friction between the block $m _2$ and the plane are equal to $\mu=0.3$. In List $II$ expression for the friction on block $m _2$ given. Match the correct expression of the friction in List $II$ with the angles given in List $I$, and choose the correct option. The acceleration due to gravity is denoted by $g$.
[Useful information : $\tan \left(5.5^{\circ}\right) \approx 0.1 ; \tan \left(11.5^{\circ}\right) \approx 0.2 ; \tan \left(16.5^{\circ} \approx 0.3\right)$ ]
List $I$
List $II$
$P.\quad$ $\theta=5^{\circ}$
$1.\quad$ $m _2 g \sin \theta$
$Q.\quad$ $\theta=10^{\circ}$
$2.\quad$ $\left(m_1+m_2\right) g \sin \theta$
$R.\quad$ $\theta=15^{\circ}$
$3.\quad$ $\mu m _2 g \cos \theta$
$S.\quad$ $\theta=20^{\circ}$
$4.\quad$ $\mu\left(m_1+m_2\right) g \cos \theta$
A block of mass $m_1=1 \ kg$ another mass $m_2=2 \ kg$, are placed together (see figure) on an inclined plane with angle of inclination $\theta$. Various values of $\theta$ are given in List $I$. The coefficient of friction between the block $m _1$ and the plane is always zero. The coefficient of static and dynamic friction between the block $m _2$ and the plane are equal to $\mu=0.3$. In List $II$ expression for the friction on block $m _2$ given. Match the correct expression of the friction in List $II$ with the angles given in List $I$, and choose the correct option. The acceleration due to gravity is denoted by $g$.
[Useful information : $\tan \left(5.5^{\circ}\right) \approx 0.1 ; \tan \left(11.5^{\circ}\right) \approx 0.2 ; \tan \left(16.5^{\circ} \approx 0.3\right)$ ]
| List $I$ | List $II$ |
| $P.\quad$ $\theta=5^{\circ}$ | $1.\quad$ $m _2 g \sin \theta$ |
| $Q.\quad$ $\theta=10^{\circ}$ | $2.\quad$ $\left(m_1+m_2\right) g \sin \theta$ |
| $R.\quad$ $\theta=15^{\circ}$ | $3.\quad$ $\mu m _2 g \cos \theta$ |
| $S.\quad$ $\theta=20^{\circ}$ | $4.\quad$ $\mu\left(m_1+m_2\right) g \cos \theta$ |
- [IIT 2014]
Figure shows three blocks in contact and kept on a smooth horizontal surface. What is ratio of force exerted by block $A$ on $B$ to that of $B$ on $C$
Figure shows three blocks in contact and kept on a smooth horizontal surface. What is ratio of force exerted by block $A$ on $B$ to that of $B$ on $C$
Arrangement of two block system is as shown. The net force acting on $1 \,kg$ and $2 \,kg$ blocks are (assuming the surfaces to be frictionless) respectively
Arrangement of two block system is as shown. The net force acting on $1 \,kg$ and $2 \,kg$ blocks are (assuming the surfaces to be frictionless) respectively