I need help with these 5 questions,if anyone can help please! Pre-Lab Q1: When i

Question

I need help with these 5 questions,if anyone can help please!

Pre-Lab Q1: When is the simple pendulum in its equilibrium position? i. When the pendulum has made any angle 0 with the vertical ii. At the bottom (or minimum extent of the pendulum's motion. iii. At the top (or farther extent) of the pendulum's motion Pre-Lab Q2: When is the restoring force on the simple pendulum maximized? i. When the pendulum has made any angle 6 with the vertical ii. At the bottom (or minimum extent of the pendulum's motion iii. At the top (or farther extent) of the pendulum's motion Pre-Lab Q3: Consider the pendulum system shown in Figure 1. Which of the following variables affect the period (T) of the pendulum? Figure 1 (Circle all that apply Hint: Refer to Eg 1. i) Length (L) 11 Mass (m) iii) Initial Angle (0) iv) Local acceleration due to gravity (g) Pre-Lab Q4: If I were to make the pendulum string eight times longer, what would happen to the period? a. The period would be about 8 times longer b. The period would be about 4 times longer c. The period would be about 2.8 times longer d. The period would be about 2 times longer e. The period would be about 1.4 times longer. f. The period would be about 4.7 times longer g. It would have the same period A Simple Pendulum PHY 1104 Page 3 DEPARTMENT OF PHYSICS AND ASTRONOMY APPALACHIAN STATE UNIVERSITY Pre-Lab Q5: If I were to double the mass ofthe pendulum, what would happen to the period? a. The period would be about 8 times longer b. The period would be about 4 times longer c. The period would be about 2.8 times longer d. The period would be about 2 times longer e. The period would be about 1.4 times longer. f. The period would be about 4.7 times longer g. It would have the same period

Explanation / Answer

Q1)(ii)At the bottom (or minimum extent ) of the pendulum's motion.

the bottom most point is calle as equilibrium poition

Q2)(iii)At the top(or farther extent) of pendulum's motion.

The restoring force is max at higestest point, thats why pensulum executes SHM.

Q3)(i)Length (ii)Local acceleration due to gravity (g)

We know that time period of pendulum is giveny by:

T = 2 pi sqrt (L/g)

Q4)(c)2.8 times

T1 = 2 pi sqrt (L/g)

T2 = 2 pi sqrt (8L/g)

T1/T2 = 1/sqrt(8)

T2 = sqrt (8)T1 = 2.8T1

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