A mass is attached to one end of a massless string, the other end of which is attached to a fixed support. The mass swings around in a vertical circle as shown in Fig. 5.36. Assuming that the mass has the minimum speed necessary at the top of the circle to keep the string from going slack, at what location should you cut the string so that the resulting projectile motion of the mass has its maximum height located directly above the center of the circle?


A mass is attached to one end of a massless string, the other end of which...
Conical Pendulum A mass attached at the end of a massless string swings around in a horizontal circle (the string sweeps out a cone). Let θ be the angle the string makes with the vertical, l be the length of the string, h is the vertical height of the string, and r is the radius of the circle. So, l is the hypotenuse of a right triangle with h and r as legs, and θ as the upper angle. The...
5) A mass m is connected to one end of a massless string of length L. The other end of the string is tied to a tall vertical pole of height H (much taller than L). The string is wound around the pole so that each wrap makes a small circle of the string and the mass touches the top of the pole. The mass is let go and the string begins to unwind. What is the angle o that...
One end of a 0.80 m string is fixed, the other end is attached to a 2.0-kg stone. The stone swings in a vertical circle, passing the bottom point at 10 m/s. What is the radial acceleration of the stone at the top of the circle? (Ans: 86 m/s2)
A ball of mass 1.25 kg is attached by a 1.4 meter long massless
rope to the top of a vertical pole. The ball swings in a horizontal
circle at a constant rate of ? rad/s with the rope making
an angle of 29
A ball of mass 1.25 kg is attached by a 1.4 meter long massless rope to the top of a vertical pole. The ball swings in a horizontal circle at a constant rate of ? rad/s...
A mass of 16.19 g is attached to one end of a massless rod, 19.67 cm in length, which is pivoted about the opposite end. The rod is held vertical, with the mass at the top, and released. The rod swings. What is the speed of the mass at the instant that the rod is horizontal, in m/s? (g=9.80 m/s2)
please explain the answer
5) A mass m is connected to one end of a massless string of length L. The other end of the string is tied to a tall vertical pole of height H (much taller than L). The string is wound around the pole so that each wrap makes a small circle of the string and the mass touches the top of the pole. The mass is let go and the string begins to unwind. What is...
A 0.5 KG mass attached to the end of a string swings in a vertical circle of radius 2 m. When the mass is at the lowest point of a circle, the speed of the mass is 12 m/s. The magnitude of the force in (N) of the string on the mass at this position is approximately?
A mass m = 4 kg hangs on the end of a massless rope L = 1.91 m
long. The pendulum is held horizontal and released from rest.
1)
How fast is the mass moving at the bottom of its path?
m/s
2)
What is the magnitude of the tension in the string at the bottom
of the path?
N
3)
If the maximum tension the string can take without breaking is
Tmax = 337 N, what is the maximum...
A rock of mass m = 0.97 kg is attached to a massless string of length L = 0.71 m. The rock is swung in a vertical circle faster and faster up to a speed of v = 2.4 m/s, at which time the string breaks. What is the magnitude of the tension, in newtons, at which the string breaks?
A mass M = 4 kg attached to a string of length L = 2.0 m swings in a horizontal circle with a speed V. The string maintains a constant angle 0 = 44.1 degrees with the vertical line through the pivot point as it swings. What is the speed V required to make this motion possible?