A 102-gram airplane is attached to a string with a length of 1.0 meters. if it flies in a circle in which the string is declined at angle (theta) of 39.8 degrees below the horizontal at what speed is the plane flying?
Solution Summary
Solution about conical pendulum with explanations and diagram.
A slender rod is pivoted at 0 which is a frictionless bearing. The circular frequency in rad/s at the rod for a small oscillation is?
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The equation of motion for a damped linear pendulum is
(d^2?/dt^2)+2?(d?/dt)+Ï?^2?=0
where Ï?=sqrt(l/g) and ? are positive constants, with l the length of the pendulum and g gravity. If l=1, g=9.81 and ?=1/4 and ?(0)=3, how long does it take the pendulum swinging from rest to reach the position ?=0. How long does it take to
A double pendulum consists of a pendulum of mass m2 hanging from a pendulum of mass m1. The motion of both parts of the double pendulum is constrained to the x-y plane. Both strings are "unstretchable" and having length I2 and I1, respectively.
a) How many degrees of freedom does this system have?
Using the variable theta1
In uniform circular motion, the acceleration is perpendicular to the velocity at every instant. Is this true when the motion is not uniform, that is, when the speed is not constant?
What is the free fall acceleration in a location where the period of a 2.15 m long pendulum is 2.94s? Answer in units of m/s2. The answer must be written within + or - 0.14%
Please see the attached files for full description.
15. The displacement of a mass oscillating on a spring is given by x(t) = x_m * cos(wt + ph). If the initial displacement is zero and the initial velocity is in negative x direction, then the phase constant phi is:
16. Mass m, oscillating on the end of a spring with sprin
A pendulum consists of a string of length L and a bob of mass M. The string is brought to a horizontal position and given the minimum initial speed enabling a pendulum to make a full turn in the vertical plane. a) what is the maximum kinetic energy K of the bob? b) what is the tension in the string when the kinetic energy is
The Moon revolves arond the earth in 27.3 days in a nearly circular orbit with a radius of 3.8 x 10^5 km. Assuming that the Moon's orbital motion is a uniform circular motion, what is the Moon acceleration as it "falls" toward the earth?
