Three masses $M =100\,kg , m _{1}=10\,kg$ and $m_{2}=20\,kg$ are arranged in a system as shown in figure. All the surfaces are frictionless and strings are inextensible and weightless. The pulleys are also weightless and frictionless. $A$ force $F$ is applied on the system so that the mass $m_{2}$ moves upward with an acceleration of $2\,ms ^{-2}$. The value of $F$ is $......N$
$\left(\right.$ Take $\left.g =10\,ms ^{-2}\right)$
Three masses $M =100\,kg , m _{1}=10\,kg$ and $m_{2}=20\,kg$ are arranged in a system as shown in figure. All the surfaces are frictionless and strings are inextensible and weightless. The pulleys are also weightless and frictionless. $A$ force $F$ is applied on the system so that the mass $m_{2}$ moves upward with an acceleration of $2\,ms ^{-2}$. The value of $F$ is $......N$
$\left(\right.$ Take $\left.g =10\,ms ^{-2}\right)$
- [JEE MAIN 2022]
- A
$3360$
- B
$3380$
- C
$3120$
- D
$3240$
Similar Questions
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]
A man of mass $50 \,kg$ carries a bag of weight $40 \,N$ on his shoulder. The force with which the floor pushes up his feet will be ......... $N$
A man of mass $50 \,kg$ carries a bag of weight $40 \,N$ on his shoulder. The force with which the floor pushes up his feet will be ......... $N$
A trolley is falling freely on inclined plane as shown in the figure. The angle of string of pendulum with the ceiling of trolley is $(\alpha)$ equal to ..........
A trolley is falling freely on inclined plane as shown in the figure. The angle of string of pendulum with the ceiling of trolley is $(\alpha)$ equal to ..........
Three blocks are placed as shown in figure. Mass of $A, B$ and $C$ are $m_1, m_2$ and $m_3$ respectively. The force exerted by block ' $C$ ' on ' $B$ ' is .........
Three blocks are placed as shown in figure. Mass of $A, B$ and $C$ are $m_1, m_2$ and $m_3$ respectively. The force exerted by block ' $C$ ' on ' $B$ ' is .........
In the given arrangement all surfaces are smooth. What acceleration should be given to the system, for which the block $m_2$ doesn't slide down?
In the given arrangement all surfaces are smooth. What acceleration should be given to the system, for which the block $m_2$ doesn't slide down?