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Lauren	
  Rappaport	
  	
  
Feb	
  1,	
  2015	
  
	
  
Learning	
  Object	
  1	
  
	
  
Question:	
  A	
  mass	
  of	
  5kg	
  is	
  hanging	
  from	
  a	
  massless	
  string,	
  moves	
  in	
  a	
  simple	
  
pendulum	
  motion	
  with	
  a	
  period	
  of	
  1	
  seconds	
  and	
  angular	
  displacement	
  of	
  30o.	
  
Assume	
  gravitational	
  force	
  is	
  9.8m/s2.	
  	
  
	
  
a)	
  Find	
  the	
  displacement	
  of	
  the	
  mass.	
  
	
  
𝑇 = 2𝜋
𝐿
𝑔
	
  
𝐿 = 𝑔(
!
!!
)!
	
  =	
  0.25m	
  
	
  
displacement	
  =	
  s	
  =	
  Lθ	
  
	
  
s	
  =	
  (0.25)(30)	
  
	
  	
  	
  =	
  7.4m	
  
	
  
b)	
  Find	
  the	
  acceleration	
  of	
  the	
  mass	
  
	
  
𝑎 =  −𝑔𝑠𝑖𝑛𝜃	
  
a	
  =	
  -­‐	
  (9.8)sin(30)	
  
a	
  =	
  9.7m/s2	
  
	
  
c)	
  Find	
  the	
  force	
  of	
  tension	
  due	
  to	
  the	
  string	
  	
  
	
  
T	
  =	
  mgcosθ	
  
T	
  =	
  (5)(9.8)cos(30)	
  
T	
  =	
  7.6N	
  

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Physics 101 learning object 1

  • 1. Lauren  Rappaport     Feb  1,  2015     Learning  Object  1     Question:  A  mass  of  5kg  is  hanging  from  a  massless  string,  moves  in  a  simple   pendulum  motion  with  a  period  of  1  seconds  and  angular  displacement  of  30o.   Assume  gravitational  force  is  9.8m/s2.       a)  Find  the  displacement  of  the  mass.     𝑇 = 2𝜋 𝐿 𝑔   𝐿 = 𝑔( ! !! )!  =  0.25m     displacement  =  s  =  Lθ     s  =  (0.25)(30)        =  7.4m     b)  Find  the  acceleration  of  the  mass     𝑎 =  −𝑔𝑠𝑖𝑛𝜃   a  =  -­‐  (9.8)sin(30)   a  =  9.7m/s2     c)  Find  the  force  of  tension  due  to  the  string       T  =  mgcosθ   T  =  (5)(9.8)cos(30)   T  =  7.6N