Flag General Physics> Two light springs of force constants k1 a...
question mark

Two light springs of force constants k1 and k2 each 3.2 Nm-1 and a block of mass 200g are in one line AB on a smooth horizontal table such that one end of the each spring is fixed on a rigid support and the other end is free as shown fig. The distance CD between the free ends of a spring is 60cm. If block moves along AB with a velocity 120 cm/s in between the springs, the period of oscillations of the block is ?

Hrishant Goswami , 10 Years ago
Grade 10
anser 1 Answers
Vikash Tiwari

Last Activity: 5 Years ago

Let us consider body will start oscillation from point C ,b/w C and D.
First calculate time b/w C and D 
V=120cm/sec        displacement= 60cm 
Therefore time(CD)=60/120=1/2
Same as above time (DC)=1/2
Now
Total Time Period
T=T/2+t(CD)+T/2+t(DC)
       
        T=2π√m/k1/2 . +1/2 . +2π√m/k2/2 +1/2
T=2π(√m/k1+√m/k2)/2+1/2+1/2
 
T=π{√m/k1+√m/k2}+1
 
 
T=3.14(√0.2/1.8+√0.2/3.2)+1
T=3.14(√1/9+√1/16)+1
T=3.14(1/3+1/4)+1
T=3.14×7/12+1
T=1.83+1
T=2.83
T
 

Provide a better Answer & Earn Cool Goodies

Enter text here...
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Enter text here...