An object executing simple harmonic motion has a maximum speed of 4.3 m/s and a maximum acceleration of 0.65 m/s^2. Find (a) the amplitude and (b) the period of this motion.
A ball rolls on a circular track of radius 0.50 m with a constant angular speed of 1.3 rad/s. If the angular position of the ball at t = 0 is theta = 0, find the x component of the ball's position at the times 2.5 s, 5.0 s and 7.5 s.
Simple Harmonic Motion: During one complete cycle, for what length of time is the postion of the object greater than A/2?
An object moves with simple harmonic motion of period T and amplitude A. During one complete cycle, for what length of time is the postion of the object greater than A/2?
A 200g object is moving in a circle of radius 4m with a uniform speed of 6m/s. What is the net force acting on the object?
A small ball is suspended from point A by a tread of length L. A nail is driven into the wall at a distance of L/2 below A, at O. The ball is drawn so that the tread takes up a horizontal position. -At what point in the ball's trajectory will the tension in the tread disappear? -How much farther will the ball move? -What
A car of mass M traveling at speed v enters a banked turn covered with ice. The road is banked at an angle theta, and there is no friction between the road and the car's tires. What is the radius r of the turn (assuming the car continues in uniform circular motion around the turn)? Express the radius in terms of the given quanti
A 5.0-m-diameter merry-go-round is initially turning with a 4.0 s period. It slows down and stops in 20 s. a) Before slowing, what is the speed of a child on the rim? (in m/s) b) How many revolutions does the merry-go-round make as it stops?
If M=0, theta=arccos(2/3) where theta is the angle between the right, for example and the pearl at the top of the circle (or the ring). A ring of mass M hangs from a thread, and two beads of mass m slide on it without friction.The beads are released simultaneously from the top of the ring and slide down opposite sides. Sho
Show all work with the answer please! A 0.208-kg toy whistle can be whirled in a horizontal circle of 1.00 m radius at a maximum of 3.00 rev/s before the string breaks. What is the force needed to break the string?
Show all work with the answer please! Calculate the centripetal force on a 2000-kg automobile rounding a curve of 175 m radius at a speed of 50 km/h.
A 12-in. diameter phonograph record rotates about its center by one-quarter turn. a. Through how many radians has it turned? b. How far has a point on the rim moved?
Show all work with answer please! A protractor is made so that the edge of its scale is 7.5 cm from the center point. If the scale is marked in degrees, how far apart are the marks along the edge?
Find the center of mass of a plate that is shaped like the region between y=x^2 and y=2x, where the density varies as 1 + x + y.
26. The Earth moves in an almost-circular orbit around the Sun because: (a) That is the 'natural' path of an object in space (b) Of the combination of its sideways motion, and the Sun's gravitational force (c) The Sun moves in an almost-circular path around the Earth (d) Of the Sun's magnetic field (e) None of the above
The x coordinate in meters, of an object which moves on the x axis with SHM is expressed by: x(t) = .12 Sin (5 t + .35) a. At time t= 0, find the initial x coordinate, and the initial magnitude and direction of the velocity and the acceleration. b. At exactly one half a period after t=0, find the x coordinate and the magn
The period of oscillation of a spring-and-mass system is 0.50 seconds and the amplitude is 5.0cm. What is the magnitude of the acceleration at the point of maximum extension of the spring?
A particle of mass m, initially at rest, moves in a circular path of radius r. The resultant force acting on the particle has a tangential component given by F = Kt. Express the time required for the particle to return to its starting point in terms of r, K, and m. I'm so confused on this one. So, there is an angular accelera
A 905 kg test car travels around a 3.25 km circular track. If the magnitude of the force that maintains the car's circular motion is 2140 N, what is the car's tangential speed? Please show all work, anwser and formulas used.
Hi. Can someone show me how to do the the following problem? "A mass M of 2.71 kg is attached to the end of a string whose length is 0.640 m, and is whirled in a vertical circle in the same radius about a fixed point. Find the magnitude of the tension when the mass is at the top if its speed at the top is 5.73 m/s." (I don
Several force and motion problems attached.
A car rounds a turn at 65 km/hr, radius= 225 m. What is the minimum friction coefficient between the tires and the road?
One end of a long brass wire is moved up and down with simple harmonic motion (SHM), with amplitude 0.08 m and a frequency of 45 cycles per second. The wave travels along the wire at a speed of 80 m/sec. Write the wave equation in terms of k and angular frequency w.
Point P is moving in a circle at constant speed. On a diameter on the x axis, point Q moves in such a way that the x coordinates of both P and Q remain the same. SEE ATTACHMENT #1 for a diagram and explanation of parameters. PART a. First with parameters then with numbers, express x as a function of time. PART b. Since th
A fighter pilot dives his plane toward the ground at 230 m/s. He pulls out of the dive on a vertical circle. What is the minimum radius of the circle, so that the normal force exerted on the pilot by his seat never exceeds three times his weight?
Proving that the motion models the given equation and finding the constant values in a situation where a mass is sliding on a rotating rod.
A particle of mass m is free to slide on a thin rod. The rod rotates in a plane about one end at constant angular velocity w. Show that the motion is given by r=Ae^(-yt)+Be^(yt), where y is a constant which you must find and A and B are arbitrary constants. Neglect gravity. Show that for a particular choice of initial co