Question

9. A car of mass 1500 kg is mounted on four suspension springs, one for each wheel.
When empty, the car oscillates vertically at a frequency of 3 Hz. When the car nas
four passengers each of mass 75 kg, it will oscillate at approximately:
a. 0.75 Hz
b. 1.75 Hz
c. 2.75 Hz
d. 3.75 Hz​

Answer 1

When the car has  four passengers each of mass 75 kg, it will oscillate at approximately 2.75 Hz

Explanation:

As we know that the time period of oscillation is

$f = \frac{1}{2\pi} \sqrt{\frac{k}{m}}$

here we know that

$m = 1500 kg$

$f = 3Hz$

now when mass is increased due to passengers

$M = 1500 + 4(75)$

$M = 1800 kg$

we will have

$\frac{f_1}{f_2} = \sqrt{\frac{M}{m}}$

$\frac{3}{f_2} = \sqrt{\frac{1800}{1500}}$

$f_2 = 2.75 Hz$

#Learn

Topic : Frequency of spring block system

https://brainly.in/question/3159673