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The wave function of a standing wave is defined as y (x,t)=(4.44mm)sin {(0.0340rad/cm)}×sin {(754rad/s)t}
For two travelling waves that make up this standing wave.
Find:
(a) The amplitude?
(b) wavelength?
(c) Frequency?
(d) Wavespeed?
(e) Wave functions?
(f) From the given information, can you determine which harmonic this is? Explain your answer.
Standing waves on the wire are described by the expression y(x,t)=Asin (kx)sinwt. Supposing that the standing wave amplitude is given to be 2.5mm whose wave number(k) is 0.750pi and the angular frequency(w) is 942rad/s. If the left end of the wire is at x=0. At what distance from the left end are the
(1) Nodes of the standing wave?
(2) Antinodes of the standing wave?
A particle is launched such that it's maximum range is 26.4m. what is the speed at which it is launched?
a Force of 10.0N accelerates an object by 3.76m/s². What is the force needed to give the same object an acceleration of 5.0m/s²
2. Box 1, a wooden box, has a mass of 8.60 kg
and a coefficient of kinetic friction with the
inclined plane of 0.35. Box 2, a cardboard box,
sits on top of box 1. It has a mass of 1.30 kg.
The coefficient of kinetic friction between the
two boxes is 0.45. The two boxes are linked by
a rope which passes over a pulley at the top of
the incline, as shown in the diagram. The inclined plane is at an angle of 38.0° with respect to the horizontal.
(a) What is the acceleration of each box?
(b) Now consider all surfaces are frictionless. Then calculate the amount of force with direction to prevent the sliding of the boxes.
A rigid body rotates with 50 rad/sec about the axis 𝑥 = 𝑦 = 𝑧. Find the velocity and the acceleration of a point P of the solid. Application for P(1,1,0).
A volleyball of mass 0.28 kg is dropped from the top of the bleachers (height equals 12 m). What is the speed of the volleyball right before it hits the gym floor?
A baseball is thrown with a velocity of 31.1 𝑚/𝑠 of 𝜃 = 33.4° above horizontal. What is the horizontal component of the ball’s velocity at the highest point of the ball’s trajectory?
A ball is thrown horizontally from the top of a building that is 26.01 m high. The ball strikes the ground at an angle 41.86 with respect to the horizontal. Neglecting air resistance, with what speed was the ball thrown?
A 25.0-kg boy stands 2.00 m from the center of a frictionless playground merry-goround, which has a moment of inertia of 200. . The boy begins to run in a circular path with a speed of 0.600 ⁄ relative to the ground.
