3. A spring type harmonic oscillator with a mass of 240 g is stretched 10 cm whe

Question

3. A spring type harmonic oscillator with a mass of 240 g is stretched 10 cm when a mass of 900 g is hung from it. The spring is then stretched an additional 6 cm by an unbalanced force and released to execute simple harmonic motion. Determine the following A. The constant of the osciliator, in dynes/am. (1) 49,000, (2) 44, 100. (3) 88. 200. (4) 96,000, (5) 56, 800. B. The mumber of complete oscillations the mass on the spring makes in ter seconds. (1) 19.6. (2) 2.14. (3) 6.28. (4) 15.0. (5) 9.8. of 0.4 seconds. Determine the following (1) 157, (2) 78.5. (3) 136. (4) 112· (S) 98. 4. A body describes simple harmonic modion with an amplicude of 10 em and a period The velocity of the body, in /sec, when it is displaced 5-trom rest posi- tion B. The acceleration of the body. in em/sec2, when it is displaced 5 am trom reat position. (1).1000. (2) 1200. (3) 2500. (4) 750 (S) 500.

Explanation / Answer

3.

A) Mg=kx

900*9.8*102=k*10

k=88200 dyne/cm option 3

B) For these cases,

T=2*3.14*((M+m/3)/k)0.5

T=0.628 s

so for 10 oscillations, T= 6.28 s opyion 3

4

A) w= 2*3.14/T = 2*3.14/0.4 = 15.7 rad/s; A=10 cm

v= -w*sqrt(A2-x2) = -15.7*(100-25)0.5 = 135.965 cm/s = 136 cms option 3

B) a=-w2*x = -15.72*5

a= -1200 cm/s2 option 2

Related Questions

Navigate

• Browse (All)
• Browse 3
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.