The period P of oscillation of a pendulum (the time interval ...

[lracut11]

The period P of oscillation of a pendulum (the time interval needed to complete one full oscillation) can be expressed in terms of the mass m of the plumb bob, the length l of the string, and the acceleration due to gravity, g, as P = kmb1cgd, where
 
  k, b, c, and d are dimensionless constants. What must be the values of b, c, and d?

Question 2

The position of an object as a function of time is given by x(t) = at3  bt2 + ct - d, where a = 3.6 m/s3, b = 4.0 m/s2, c = 60 m/s, and d = 7.0 m.
 
  (a) Find the instantaneous acceleration at t =2.4 s.
  (b) Find the average acceleration over the first 2.4 seconds.

[Laurenleakan]

Answer to Question 1

b = 0, c = 1/2, d = -1/2

Answer to Question 2

(a) 44 m/s2
(b) 18 m/s2

[lracut11]

Gracias!

[yeungji]

Great answer, keep it coming