A small ball is attached to one end of a spring that has an unstrained length of 0.185 m. The spring is held by the other end, and the ball is whirled around in a horizontal circle at a speed of 4.80 m/s. The spring remains nearly parallel to the ground during the motion and is observed to stretch by 0.0190 m. By how much would the spring stretch if it were attached to the ceiling and the ball allowed to hang straight down, motionless? Number i Units

Any object moving with a specified angular velocity is known to be an object that moves in simple harmonic motion. The displacement (d) of an object moving in simple harmonic motion is described by the function d = R sin(wt) such that d is the radius of the rotating object, w is the angular velocity of the rotating object. The moon is a satellite that rotates around Earth with a nearly circular elliptic orbit. With this orbit, the approximate distance of the moon from the Earth is 385,000 km rotating at 14,091.21 km per hour. Using this information, sketch a graph of the moon's orbit around Earth and the a. domain and range: b. amplitude: с. period: d. interval:

You pull on a string with a horizontal force of magnitude F = 40 N that is attached to a block of mass m, = 7.5 kg, then to the axle of a solid cylinder of mass m. = 4.8 kg and radius r = 0.4 m, then to a spring of spring constant k = 140 N/m. This is all done on an inclined plane where there is friction ( 4s = 0.68 and , = 0.31 ), and the incline angle is e = 25 degrees. Everything starts at rest, and the spring is unstretched. The block slides down the plane, the cylinder rolls down the plane (without slipping), and the Cylinder, Spring, and Block on Ramp spring stretches. 000000000- b yb First, what is the speed of the block and cylinder after you have pulled the block and cylinder 86 cm down the plane?

In the figure, suppose the length L of the uniform bar is 2.9 m and its weight is 170 N. Also, let the block's weight W = 270 N and the angle 0 = 37°. The wire can withstand a maximum tension of 360 N. (a) What is the maximum possible distance x before the wire breaks? With the block placed at this maximum x, what are the (b) horizontal and (c) vertical components of the force on the bar from the hinge at A? com A (a) Number i Units (b) Number i Units (c) Number i Units >