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A block with a mass of 4 $\mathrm{kg}$ is attached to a spring on the wall that oscillates back and forth with a frequency of 4 $\mathrm{Hz}$ and an amplitude of 3 $\mathrm{m}$ . What would the frequency be if the block were replaced by one with one-fourth the mass and the amplitude of the block is increased to 9 $\mathrm{m}$ ?(A) 4 $\mathrm{Hz}$(B) 8 $\mathrm{Hz}$(C) 12 $\mathrm{Hz}$(D) 24 $\mathrm{Hz}$

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Chapter 8

Oscillations

Oscillatory Motion

04:46

A block-spring system cons…

01:41

A block with a mass of 10 …

02:42

A horizontal spring with a…

05:07

A 1.2 $\mathrm{kg}$ block …

01:01

A 3 kg block is attached t…

02:24

A vertical spring (spring …

03:17

A $1.0 \mathrm{kg}$ block…

09:59

A vertical spring stretche…

03:33

A block weighing 20 $\math…

01:34

A $3-\mathrm{kg}$ block is…

Hi. In this problem, we have given a block with a mass of four kgs attached to a spring on the wall and oscillates back and forth with the frequencies for hedge and amplitude is three m. What were the frequency if the blog were replaced by you? Wanna fourth mhm. 1/4 the mass and the employee duties. That means, um prime is a call to m by four. And a prime is a cold Oh, mine meter. And it is a vlog increased to nine m night. So we have to find the new frequency f crime. So we know that frequency is equal to one of one to buy on the road gave I am so we can say it is proportional to and the road one day I am because K is constant so we can write f upon if prime upon f is equal to under road. Mm bye. Mm. Brian So this is a cold. Oh. Mm. Is M and M price M primaries and by four so f prime will be equal to two times of initial. So this is two and 24 That means it is equal to eight heart. So our options. Often we will be correct. Option. Mhm option. We use characters, and we know that frequency doesn't depend on the aptitude. So it depends on the mask. So and we know that new masses one way. Fourth of initial. So this is a call to eight Hutch. The new frequency will be eight has

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