Figure shows two cases. In first case a spring (spring constant $K$ ) is pulled by two equal and opposite forces $F$ at both ends and in second case is pulled by a force $F$ at one end. Extensions $(x)$ in the springs will be
Figure shows two cases. In first case a spring (spring constant $K$ ) is pulled by two equal and opposite forces $F$ at both ends and in second case is pulled by a force $F$ at one end. Extensions $(x)$ in the springs will be
- A
In both cases $x=\frac{2 F}{K}$
- B
In both cases $x=\frac{F}{K}$
- C
In first case $x=\frac{2 F}{K}$, in second case $x=\frac{F}{K}$
- D
In first case $x=\frac{F}{K}$, in second case $x=\frac{2 F}{K}$
Similar Questions
What is dynamics ?
What is dynamics ?
There are three forces $\vec {F_1}$, $\vec {F_2}$ and $\vec {F_3}$ acting on a body, all acting on a point $P$ on the body. The body is found to move with uniform speed.
$(a)$ Show that the forces are coplanar.
$(b)$ Show that the torque acting on the body about any point due to these three forces is zero.
There are three forces $\vec {F_1}$, $\vec {F_2}$ and $\vec {F_3}$ acting on a body, all acting on a point $P$ on the body. The body is found to move with uniform speed.
$(a)$ Show that the forces are coplanar.
$(b)$ Show that the torque acting on the body about any point due to these three forces is zero.
A particle of mass $m$ is constrained to move on $x$-axis. A force $F$ acts on the particle. $F$ always points toward the position labeled E. For example, when the particle is to the left of $E$, $F$ points to the right. The magnitude of $F$ is constant except at point $E$ where it is zero.
The system is horizontal. $F$ is the net force acting on the particle. The particle is displaced a distance A towards left from the equilibrium position $E$ and released from rest at $t=0$
Find minimum time it will take to reach from $x=-\frac{A}{2}$ to $0.$
The system is horizontal. $F$ is the net force acting on the particle. The particle is displaced a distance A towards left from the equilibrium position $E$ and released from rest at $t=0$
Find minimum time it will take to reach from $x=-\frac{A}{2}$ to $0.$
Two blocks of mass $2 \,kg$ and $4 kg$ are accelerated with same acceleration by a force $10 \,N$ as shown in figure on a smooth horizontal surface. Then the spring force between the two blocks will be .......... $N$ (spring is massless)
Two blocks of mass $2 \,kg$ and $4 kg$ are accelerated with same acceleration by a force $10 \,N$ as shown in figure on a smooth horizontal surface. Then the spring force between the two blocks will be .......... $N$ (spring is massless)
A uniform rope of mass $M$ and length $L$ is fixed at its upper end vertically from a rigid support. Then the tension in the rope at the distance $l$ from the rigid support is $x$
A uniform rope of mass $M$ and length $L$ is fixed at its upper end vertically from a rigid support. Then the tension in the rope at the distance $l$ from the rigid support is $x$