A mass of 2kg is attached to a spring with constant 8N/m.It is⊛ then displaced to the point x=2. What time does it take for the block to travel to the point x=1? a)40s b)60s c)30s d)20s


Question and Answers Forum

All Questions Topic List
Mechanics Questions
Previous in All Question Next in All Question
Previous in Mechanics Next in Mechanics
Question Number 33533 by NECx last updated on 18/Apr/18

$A m a s s o f 2 k g i s a t t a c h e d t o a$ $s p r i n g w i t h c o n s t a n t 8 N / m . I t i s ⊛$ $t h e n d i s p l a c e d t o t h e p o i n t x = 2 .$ $W h a t t i m e d o e s i t t a k e f o r t h e b l o c k$ $t o t r a v e l t o t h e p o i n t x = 1 ?$ $a) 4 0 s b) 60 s c) 30 s d) 20 s$
	Answered by ajfour last updated on 18/Apr/18

	$x = 2 \cos ω t = 2 \cos (\sqrt{\frac{k}{m}} t)$ $1 = 2 \cos (\sqrt{\frac{8}{2}} t)$ $\Rightarrow 2 t = \frac{π}{3} \Rightarrow t = \frac{π}{6} s .$
	Commented by NECx last updated on 19/Apr/18

	$t h a n k y o u s o m u c h s i r A j f o u r . Y o u r$ $p r e s e n c e i s r e a l l y f e l t .$
Terms of Service
Privacy Policy
Contact: info@tinkutara.com

Question and Answers Forum