of e 9.3 from the vertical and released att 0. 1) What is the period of oscillat

Question

of e 9.3 from the vertical and released att 0. 1) What is the period of oscillation? Submit 2) What is the magnitude of the force on the pendulum bob perpendicular to the string at t-0? Submit 3) What is the maximum speed of the pendulum? 4) What is the angular displacement at t 3.64 s? (give the answer as a negative angle if the angle is to the left of the Submit 5) What is the magnitude of the tangential acceleration as the pendulum passes through the equilibrium position? m/s Submit 6) What is the magnitude of the radial acceleration as the pendulum passes through the equilibrium position? 7) Which of the following would change the frequency of oscillation of this simple pendulum? increasing the mass decreasing the initial angular displacement Oincreasing the length hanging the pendulum in an elevator accelerating downward Submit

Explanation / Answer

1) T = 2 pi sqrt(L/g)

T = 2 pi sqrt(2.45 / 9.8)

T = 3.14 s

2) perpendicular to string,

F = m g sin9.3 = 1.5 x 9.8 x sin9.3

F = 2.38 N  

3) v_max = sqrt(2 g h)

and h = L (1 - cos9.3)

v_max = sqrt(2 x 9.8 x 2.45(1 - cos9.3))

= 0.794 m/s

4) w = 2 pi / T = 2

and theta = (9.3 deg) cos[2t]

at t = 3.64 s

theta = 9.3 deg cos(7.28 rad)

theta = 5.05 deg

5) a_t = 0

6) a_r = v^2 / L = 0.794^2 / 2.45 = 0.258 m/s^2

7) Ans: increasing the length

hanging the pendulum in an elevator accelerating

Related Questions

Navigate

• Browse (All)
• Browse O
• Subjects

---

---

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