The diagram shows a simple pendulum consisting of a mass M = 1.25 kg suspended by a thin string with a length of l = 0.910 m. The mass swings back and forth between ±q0. T is the magnitude of the tension in the string. 1) True or false T depends only on q. {q is for theta} The vertical component of tension is constant
Your boss at the Cut-Rate Cuckoo Clock Company asks you what would happen to the frequency of the angular SHM of the balance wheel if it had the same density and the same coil spring (thus the same torsion constant), but all the balance wheel dimensions were made one-third as great to save material. 1) By what factor would th
This problem is a three-parter. Here we go: A stunt man whose mass is 72.7 kg swings from the end of a 4.51 m long rope along the arc of a vertical circle. 1.) Assuming he starts from rest when the rope is horizontal, find the tension in the rope that is required to make him follow his circular path at the beginning of hi
Derive from first principles the Poiseuille equation for pressure drop generated by the steady flow of a Newtonian fluid through a straight tube of circular cross-section. If the flow is laminar, what is the form of the velocity profile with in the tube? Show that the mean velocity is half the peak in such circumstances.
Car taking an un-banked circular turn: A car is safely negotiating an un-banked circular turn at a speed of 21m/s. The max static frictional force acts on the tires. Suddenly a wet patch in the road reduces the maximum static frictional force by a factor of three. If the car is to continue safely around the curve, to what spe
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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?
At an outdoor market, a bunch of bananas is set on a spring scale to measure the weight. The spring set the full bunch of bananas into vertical oscillatory motion. The motion is harmonic with an amplitude of 0.15 m. The spring of the scale has a force constant k = 332 n/m. It is observed that the maximum speed of the bananas
(See attached file for full problem description) 2. A child standing on a bridge throws a rock straight down. The rock leaves the child's hand... 3. An astronaut is in circular orbit in a satellite around the earth. The astronaut feels weightless because... 4. A quantity that remains constant in uniform circular motion
(See attached file for full problem description) 1. A roller coaster ride at an amusement park lifts a car of mass 700kg to point A at a height of 90 m above the lowest point on the track, as shown above. The car starts from rest at point A, rolls with negligible friction down the incline and follows the track around a loop o
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A small remote-control car with a mass of 1.60 kg moves at a constant speed of v=12.0 m/s in a vertical circle inside a hollow metal cylinder that has a radius of 5.00m (Fig. 5-69). What is the magnitude of the normal force exerted on the car by the walls of the cylinder at a) point A (at the bottom of the vertical circle)? b) p
See attached file for full problem description with diagram. 5-102. A small block with mass m rests on a frictionless horizontal tabletop a distance r from a hole in the center of the table (Fig. 5-66). A string tied to the small block passes down through the hole, and a larger block with mass M is suspended from the free end
A 200g object is moving in a circle of radius 4m with a uniform speed of 6 m/s. What is the net force acting upon the object?
Two skaters are in the exact center of a circular frozen pond. Skater 1 pushes skater 2 off with a force of 100 N for 1.69 seconds. If skater 1 has a mass of 34 kg and skater 2 has a mass of 72 kg, what is the relative velocity (v1 - v2) after the push to the nearest hundredth of a m/s? After reaching the other shore, how fas
(See attached file for full problem description) --- 1. In a tug-of-war, each man on a 5-man team pulls with an average force of 500 N. What is the tension in the center of the rope? A zero newtons B 100 N C 500 N D 2500 N E 5000 N 2. A ball moves with a constant speed of 4 m/s around a circle
A crate is resting on a ramp that is inclined at an angle above the horizontal. As it increased, the crate remains in place until it reaches a value of 29.2°. Then the crate begins to slide down the slope. (a) Determine the coefficient of static friction between the crate and the ramp surface. (b) The coefficient of kinet
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.
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 geosynchronous satellite stays above the same point on the equator of the Earth (a typical TV satellite). Determine algebraically: (a) The height above the Earth's surface it must be. (b) What the satellite orbital speed is?
A kid swings from a rope 8.5 m long on a stationary pole on a playground. His body mass is 70 kg and he is moving 6.0 m/s when he passes through the lowest part of his path. What is the tension in the rope at the lowest part of his path? When he reaches the highest point, what angle does the rope make with the vertical?
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
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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.