Thursday

November 27, 2014

November 27, 2014

Posted by **greg** on Saturday, March 1, 2008 at 11:26pm.

- PHYSICS -
**drwls**, Sunday, March 2, 2008 at 1:00amThe angle of the pendulum from vertical is

A = arcsin r/L = arcsin [0.75/(2 pi L)]

= 5.71 degrees

You will need this angle later.

The vertical and horizontanl equations of motion are:

T sin A = m V^2/R

T cos A = m g

which tells you that

tan A = 0.100 = V^2/gR

V^2 = 0.100*9.8m/s^2*0.1194m = 0.1170 m^2/s^2

V = 0.342 m/s

(a) T = mg/cosA = 0.038kg*9.8m/s^2/.9950

= 0.3743 Newtons

(b) Period = (circumference)/V

= 2 pi R/sqrt(g R tan A)

for small angles A, tan A = R/L, so

Period = 2 pi R /sqrt (g R *R/L)

= 2 pi sqrt (L/g)

which is the same as the formula for a pendulum oscillating in a plane (one dimension)

Period = 2.2 seconds

Check my work

- PHYSICS -
**greg**, Sunday, March 2, 2008 at 1:26amThanks!

**Answer this Question**

**Related Questions**

physics - Figure 6-43 shows a "conical pendulum", in which the bob (the small ...

physics - The figure below shows a "conical pendulum", in which the bob (the ...

Physics - A conical pendulum is constructed from a rope of length l and ...

physics - A small marble is suspended from a 45 cm string and creates a conical ...

Physics - a small body of mass m revolving in a horizontal circle with velocity ...

Physics - Suppose that a simple pendulum consists of a small 71.8 g bob at the ...

physics - One end of a cord is fixed and a small 0.300 kg object is attached to ...

Physics - Suppose that a simple pendulum consists of a small 66.0 g bob at the ...

Physics - a 800 gram ball at the end of a cord is whirled in an almost ...

Physics - a 800 gram ball at the end of a cord is whirled in an almost ...