Ropes

Q. Two bodies of masses m1 and m2 are connected by a light string which passes over a frictionless, massless pulley. If the pulley is moving upward with uniform acceleration g/2 , then tension in the string will be

Q. 108.Two masses m1 and m2 are connected at the two ends of a light inextensible string that goes over a frictionless pulley. Find the acceleration of the masses and the tension in the string when the masses are released.

Q.

The angular velocity and the amplitude of a simple pendulum is ω and a respectively. At a displacement X from the mean position if its kinetic energy is T and potential energy is V, then the ratio of T to V is

[CBSE PMT 1991]

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Q. A cylindrical rod of mass M, L and radius R has two cords wound around it whose ends are attached to the ceiling. The rod is held horizontally with the two cords vertical. When the rod is released, cords unwind the rod rotates. Find the tension in the cords as they unwind

Q. 28.Three solid masses m1, m2 and m3 connected with weightless strings in succession and placed on a frictionless table .If the mass m3 is dragged with force T .The tension in the string between masses m2 and m3

Q.

Three solids of masses $m_1,m_{2}and{m}_3$ are connected with weightless string in succession and are placed on a frictionless table. If the mass $m_3$ is dragged with a force T, the tension in the string between $m_2$ and $m_3$ is

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Q. Two bodies of masses m1 and m2 are connected by a light string which passes over a frictionless massless pulley. If thepulley is moving upward with uniform acceleration g/2 then , tension in the string will be

Q. 135.Two blocks of masses 10 gram and 30 gram are fastened to the ends of a cord which passes over a frictionless pulley.the 10 gram block rests on the table what minimum force must be applied on the 10 gram block to kept it on the table? What will be the tension in the cord under this condition?what will be the acceleration of the system and tension in the cord when the force is drawn? Also draw a diagram

Q. 149. If two masses m1 and m2 are attached to the end of the string which passes over a pulley.if T is the tension in the string the acceleration of the system is

Q. 1. Two blocks of masses m1 and m2 are lying on a smooth inclined surface and connected by a light inextensible string as shown in fig. If the system is pulled by a force F, the tension in the string will be

Q. Two bodies of masses m, and m2 are connected by a light string which passes over a frictionless massless pulley. If the pulley is moving upward with uniform acceleration g/2, then tension in the string will be

Q.

Three blocks A, B and C weighing 1, 8 and 27 kg respectively are connected as shown in the figure with an in extensible string and are moving on a smooth surface. $T_3$ is equal to 36 N. Then $T_2$ is

1. 3.375 N

2. 1.25 N

3. 18 N

4. 9 N

Q. At what minimum acceleration should a monkey should slide a rope whose breaking strength is two-three of its weight?

1. g
2. 2g
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Q.

what is d relation between force and tension? in formulas

Q. A block of mass $m\text{kg}$ is suspended by a string attached with a $2m\text{kg}$ mass block. The $2m$ mass block is suspended by a spring as shown in the figure. The system is initially at equilibrium and rest. The spring and string are massless. Now the string is cut. The accelerations of mass $2m$ and $m$ just after the string is cut will be

1. $\frac{g}{2}$ upwards, $g$ downwards
2. $g$ downwards, $\frac{g}{2}$ upwards
3. $g$ downwards, $2g$ downwards
4. $2g$ upwards, $g$ downwards

Q. A block of mass $m\text{kg}$ is suspended by a string attached with a $2m\text{kg}$ mass block. The $2m$ mass block is suspended by a spring as shown in the figure. The system is initially at equilibrium and rest. The spring and string are massless. Now the string is cut. The accelerations of mass $2m$ and $m$ just after the string is cut will be

1. $\frac{g}{2}$ upwards, $g$ downwards
2. $g$ downwards, $\frac{g}{2}$ upwards
3. $g$ downwards, $2g$ downwards
4. $2g$ upwards, $g$ downwards

Q. A block mass 6kg is kept in equilibrium with the help of strings with 30degree. The tension in strin

Q. A train runs along an unbanked circular track of radius $30m$ at a speed of $54km/h$.The mass of the train is ${10}^{6}kg$. What provides the centripetal force required for this purpose?

Q. 120.A bus is moving with constant acceleration a=3g/4 towards right . In the bus a ball is tied with rope and is rotated in a vertical circle as shown . The tension in the rope will be minimum when angle is ?

Q.

Two blocks $A$ and $B$ of masses $m$ and $2m$ respectively are held at rest such that the spring is at its natural length. Find out the accelerations of blocks $A$ and $B$ respectively just after release (pulley, string and spring are massless).

1. $g$↓, $g$↓
2. $\frac{g}{3}\downarrow ,\frac{g}{3}\downarrow$
3. $0$, $0$
4. $g$↓, $0$

Q. With what minimum acceleration can a fireman slides down a rope while k breaking strength of the rope is $\frac{2}{3}$ his weight

1. $\frac{2}{3}g$
2. $g$
3. $\frac{1}{3}g$
4. $Zero$

Q. A uniform rope of length $L$ and mass $M$ is hanging from a rigid support. The tension in the rope at a distance $x$ from the rigid support is

1. $Mg$
2. $Mg\left(\frac{L-x}{L}\right)$
3. $Mg\left(\frac{L}{L-x}\right)$
4. $Mg\left(\frac{x}{L}\right)$