Combination of Springs

Q. If a spring has time period 8 s and it is cut into four equal parts, if one part connected with same mass then, time period of each part is

Q. A spring of force constant $K$ is cut into lengths of ratio 1 : 2 : 3. They are connected in series and the new force constant is $K^{{}^{\prime }}$. Then, they are connected in parallel and the force constant is $K^{\prime \prime }$. Then, $\frac{K^{{}^{\prime }}}{K^{\prime \prime }}$ is

1. $1:9$
2. $1:11$
3. $1:14$
4. $1:6$

Q. 32.Two identical blocks A and B are connected with a spring of spring constant k as shown in figure. If block B is moving rightwards with speed Vo then maximum extension In the spring will be?

Q. A chain of length L and mass M is allowed to fall on a table such that the part falling on the table comes to rest ins†an†an eously. The force acting on the table when x part of it has lied on the table i

Q. two similar springs PandQ have spring cons†an ts Kp and Kq such that kp>kq they stretched first by the sameamount case a then by the same force case b the workdone by the springs Wp andWq are related in case a and case

Q. when to put mg=kx and mgx=1/kx2 in spring mass system why in some places the eq.is mg=kx{k=spring constant} and sometimes it is mgx=1/2kx2

Q. 5.The reading of of ideal spring balance is

Q. two spring of spring cons†an t k and 2k are connected in series with spring of cons†an t k with rigid surface and of 2k with a block of mass m . if block oscillate with amplitude a then point p which is in between spring oscillate with amplitude ?

Q. a mass of .2 kg is attached to the lower end of the massless spring of force constt 200 N/m the upper end is fixed to a rigid support. cal T and length by which spribg is attached in quilibrium

Q.

The given setup is in equilibrium springs were in natural length before force was applied. If I have to replace the above setup of 1 block and 2 springs by 1 block and 1 spring, What will be the spring constant of that new spring, such that the block is displaced by the same amount as previously.

1. 

2. 

3. 

4. 

Q. For the spring block arrangement as shown in figure:


Given that $k_1=2k_2$. If force applied by the first spring on the block is $F_1$ and force applied by the second spring on the block is $F_2$, choose the correct option(s) if the block is in equilibrium with the action of an external force $30\text{N}$ on the block.

1. $x_1=2x_2$
2. $x_1=x_2$
3. $F_1=F_2=30\text{N}$
4. $F_1=20\text{N},F_2=10\text{N}$

Q. The spring constant of a certain spring is calculated as k(e) when measured in earth. If the spring constant of the same spring is calculated on the moon (ie; k(m)), what will be the ratio of the respective spring constants?

Q. Two Small rings O and O are put on two vertical stationary- rods AB and A` B, respectively. One end of an inextensible thread is tied at point A`. The thread through ring O and its other end is tied at point a and is passed through ring y .Assuming that ring O moves downwards at a constant velocity by V find v of ring y if angle AXY is theta

Q. Equivalent force constant of series combination of 2 springs having force constants 12N/m and 4 N/m will be what

Q. If you cut a spring into two equal springs, what will the value of their respective spring constants be, given, that of the original one is K?

1. K
2. K/2
3. 2K
4. Incalculable