Question

A small block is attached to an ideal spring and is moving in shm on a horizontal, frictionless surface. when the amplitude of the motion is 0.090 m , it takes the block 2.87 s to travel from x = 0.090 m to x = -0.090 m .

Answer 1

The equations of motion for a block attached to an ideal spring can be determined using the given information in SHM.

Step-by-step explanation:

The equations of motion for a block attached to an ideal spring in simple harmonic motion (SHM) can be determined using the given information.

In SHM, the object oscillates between two extreme points, which are the maximum positive and negative displacements from the equilibrium position.

The general equation for the position of the block as a function of time is given by: x(t) = A * cos(2πt/T), where x(t) is the position of the block at time t, A is the amplitude of the motion, T is the period of the motion, and π is a mathematical constant approximately equal to 3.1416.