Question

A mass is placed on a frictionless, horizontal table. A spring (k = 100 N/m), which can be stretched or compressed, is placed on the table. A 7.00 kg mass is attached to one end of the spring, the other end is anchored to the wall. The equilibrium position is marked at zero. A student moves the mass out to x = 5.0 cm and releases it from rest at t = 0. The mass oscillates in SHM. Find the position (in cm), velocity (in cm/s), and acceleration (in cm/s²) of the mass at time t = 3.55 s. (Indicate the direction with the signs of your answers.)

Answer 1

Natural Angular Frequency,

The standard equation of the motion is :

Position ,

DIfferentiating,

Velocity,

DIfferentiating,

Acceleration,

At t = 3.55 s

Position ,

Velocity,

Acceleration, ​​​​​​​​​​​​​​