A conical pendulum is a weight or bob fixed on the end of a string suspended fro

Question

A conical pendulum is a weight or bob fixed on the end of a string suspended from a pivot. It moves in a horizontal circular path, as shown in the diagram below. (o) What is the tension in the string? (Use the following as necessary: m, g, and 0.) (b) what is the centripetal acceleration of the bob? (Use the following as necessary: g, and 8.) (c) Suppose the bob has a mass of 0.39 kg, the length of the pendulum is 0.70 m and the angle that it swings at is 17, What is the magnitude, in m/si, of the centrie msa (d) What is the radius, in meters, of the horizontal circular path (e) what is the speed of the mass, in /s? m/s

Explanation / Answer

(A) in vertical,

Fnet = T cos(theta) - m g = 0

T = m g / cos(theta)

(B) in horizontal, Fnet = m a

T sin(theta) = m a

m g tan(theta) = m a_c

a_c = g tan(theta)

(C) a_c = 9.8 x tan(17) = 3 m/s^2

(D) r = L sin(theta) = 0.205 m

(E) a_c = v^2 / r

3 = v^2 / 0.205

v = 0.784 m/s

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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