Please answer the questions above 1-5. the other stuff are info to help you to a
ID: 1621508 • Letter: P
Question
Please answer the questions above 1-5. the other stuff are info to help you to answer the questions.
Thank you
EXPERIMENT #13 HOOKE'S LAW AND SIMPLE HARMONIC MOTION THEORY For many elastic substances, the deformation that it undergoes due to an external force is directly proportional to a restoring force that resists further deformation. For one dimension, this relationship-known as Hooke's Law is described mathematically with the magnitude KAT k(r where Ar is the linear deformation (or in this instance the vertical displacement of the spring), k is the k-constant or "stiffness" of the spring, r is the current position of the object attached to the spring, and ro is the same object's equilibrium position. When the motion of an object is repeated in regular time intervals, or periods, it is classified as periodic motion. When a hanging mass undergoes oscillation as part of a spring system, the motion is described as being simple harmonic motion. It is simple because the restoring force has the simplest form (i.e., linear) and considered harmonic because the motion can be described by harmonic functions (i.ee, sines and cosines The equation for the motion of the hanging mass is written as 2ntr where t is the time, T is the period of oscillation, and A is the amplitude (or maximum displacement) of the hanging mass. Be aware that the argument of the cosine function is in radians, not degrees. The amplitude depends on the initial conditions of the system (i.e., how far the hanging mass was initially displaced from its equilibrium position). Moreover, the period of oscillation depends on the parameters of the system which for a spring and hanging mass is given by m m where m' is the effective mass of the spring when no hanging mass is attached to it.Explanation / Answer
(1)speed will be maximum when the mass is at its mean position, i.e at the initial position of spring, i,e x=31.9 cm. the acceleration will be maximum at the extreme position, i.e, r= 41.2 cm
(2)speed will be zero when the mass is at its extreme position i.e, x= 41.2 cm. the acceleration will be zero at the mean position, i.e,.e at the initial position of spring,x=31.9 cm.
(3)independent varibale is position of mass r
(4) fixed varibale is spring constant K
(5)dependent variable is force F.