Posted by **CHIKIRSHU** on Friday, December 25, 2009 at 3:11am.

Q.1.A spring of force constant'k'is cut into two parts whoose lengths are in the ratio 1:2.The parts are now connected in paralle and a block of mass'm'is suspended at the end of the combined spring.Find the period of oscillation performed by the block.

Q.2.The angle (in radians) made by the string of simple pendulum with the vertical depends on time as TEETHA = (pi/90)sin[(pi/sec)t].Find the length of the pendulum if g = (pi.pi) i.e. pi sqare meter per second sqare.

- PHYSICS -
**drwls**, Friday, December 25, 2009 at 5:42am
Q1. A numerical value for the peiod cannot be provided without numerical values for the mass m and original spring constant, k. Before cutting aqnd rearranging, the period was

P1 = 2 pi sqrt (m/k)

After cutting, the two springs have sping constants 3k (short spring) and (3k/2) (long spring). When arranged in parallel, the spring constants add to give an effective spring constant of 9k/2. The new period is

P2 = 2 pi sqrt[(2/9)(m/k)]

= (sqrt2)/3 * P1

Q2. I don't understand the meaning of (pi/sec)t as the argument of the sin function.

If the angle argument is pi*t, with t in seconds, then sqrt(g/L) = w = pi (sec^-1)

where w is the angular frequency, which equals sqrt (g/L)

If g = pi^2 (m/s^2), then

g/L = pi^2 = pi^2/L

so L = 1 m

## Answer this Question

## Related Questions

- physics - a spring of force constant 'k' is cut into 2 parts whose lengths are ...
- Physics - Two springs, each with spring constant 20 N/m, are connected in ...
- math - A string is cut into two parts.The ratio of lengths of the string and the...
- PHYSICS - An object of mass M is divided into two parts ,which are placed at ...
- physics - A metal block of mass m is attached to the ceiling by a spring. ...
- physics - A spring of force constant k is cut into two equal parts. what is the ...
- Physics - A block is suspended from the end of a spring. An external force holds...
- physics - A mass M is split into two parts, m and M - m, which are then ...
- geometry - for that some problem: A board that is 12 feet long must be cut into ...
- physics - A solid block of mass m2 = 8.3 kg, at rest on a horizontal ...

More Related Questions