The fi gure shows a portion of a plate cam used in the design of a control mechanism. The motion of pin P in the fi xed slot of the plate cam is controlled by the vertical guide A, which travels horizontally at a constant speed of 6 in. /sec over the central sinusoidal portion of the slot. Determine the normal component of acceleration when the pin is at the position x = 2 in.

Complete Question

The complete question is shown on the first uploaded image

The normal component of the acceleration is

Explanation:

The explanation is shown on the second , third and fourth uploaded image

the minimum constant speed at which she can catch the train is 2.7 m/s

given:

acceleration = 0.6

time = 4.5 s

to find:

velocity = ?

formula used:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

solution:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

v = 0 + (0.6 × 4.5)

v = 2.7 m/s

the minimum constant speed at which she can catch the train is 2.7 m/s