Two balls (m= 3.0 kg and M=3m) are attached by light threads AO and OB (whose...
Two balls (m= 3.0 kg and M=3m) are attached by light threads AO and OB (whose combined length l=1.0m) to a vertical axis at point O and set in rotational motion in a horizontal plane about this axis at a constant angular speed w. What is the ratio of the length AO and OB for which tensions in threads are the same?
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Two balls (m= 3.0 kg and M=3m) are attached by light threads AO
and OB (whose...
Two 3.00 kg balls are attached to the ends of a thin rod of negligible mass,...
Two 3.00 kg balls are attached to the ends of a thin rod of
negligible mass, 50.0 cm long. The rod is free to rotate in a
vertical plane without friction about a horizontal axis through its
center. While the rod is horizontal (Fig. 12-46), a 65.0 g putty
wad drops onto one of the balls with a speed of 3.00 m/s and sticks
to it.(a) What is the angular speed of the system just after the putty
wad hits?(b)...
Angular Momentum and Inelastic Collisions Two balls, each with mass M/2, are attached to the ends...
Angular Momentum and Inelastic Collisions Two balls, each with mass M/2, are attached to the ends of a thin rod of length L = 0.45 m and negligible mass. The rod is free to rotate in a horizontal plane without friction about a fixed vertical axis through its center. With the rod initially at rest (as shown), two wads of wet putty hit the balls at the same time and stick to them. Assume that the wads of putty have...
A ball of mass M = 1.40 kg and radius r = 4.70 cm is attached...
A ball of mass M = 1.40 kg and radius r = 4.70 cm is attached to one end of a thin, cylindrical rod of length L = 12.0 cm and mass m = 0.880 kg. The ball and rod, initially at rest in a vertical position and free to rotate around the axis shown in the figure below, are nudged into motion. M m (a) What is the rotational kinetic energy of the system when the ball and rod...
The rigid object shown in the figure consists of three balls, with M = 1.6 [kg],...
The rigid object shown in the figure consists of three balls, with M = 1.6 [kg], and three connecting rods, L = 0.60 [m], and 0 = 30°. The balls may be treated as point particles, and the connecting rods have negligible mass. Determine the rotational kinetic energy of the object if it has an angular speed of 1.2 [rad]/[s] about: (a) an axis that passes through point P and is perpendicular to the plane of the figure. (b) an...
A pendulum consists of a 2.5-kg bob attached to a light 1.2 m-long string. While hanging...
A pendulum consists of a 2.5-kg bob attached to a light 1.2 m-long string. While hanging at rest with the string vertical, the bob is struck a sharp horizontal blow, giving it a horizontal velocity of 3m/s. At the instant the string makes an angle of 38 degree with the vertical, what is The speed, The tension in the string? What is the angle of the string with the vertical when the bob reaches its greatest
AXis Two spheres of mass m are attached to a light rod of length 2L. The...
AXis Two spheres of mass m are attached to a light rod of length 2L. The rod is fixed at its center to a freely-rotating axis. The rod is horizontal when a small bird of mass 5m carefully lands on the right sphere. Express a answers in terms of m, L, and g (a) What is the net torque on the system the instant the bird lands (while the rod is still horizontal)? (b) Determine the angular acceleration of the...
A mass M = 4 kg attached to a string of length L = 2.0 m...
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?
3) A pendulum consists of a solid spherical mass of mass 3m and radius R whose...
3) A pendulum consists of a solid spherical mass of mass 3m and radius R whose center is attached to the end of a uniform rod of mass m and length 4R which is pivoted about an axis at its end. a) The pendulum is constructed with a sphere of mass 1.5 kg and radius 15 cm, rod of mass .50 kg and length 60 cm. The mass swings in simple harmonic motion of maximum amplitude of /6 radians. Find...
A mass M = 4 kg attached to a string of length L = 2.0 m...
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 theta θ= 46.5 degrees with the vertical line through the pivot point as it swings. What is the speed V required to make this motion possible?
A 0.20-kg block is attached to a light, horizontal spring of stiffness 64 N/m; the other...
A 0.20-kg block is attached to a light, horizontal spring of stiffness 64 N/m; the other end of the spring is attached to a wall; the block is free to oscillate on a frictionless, horizontal surface. What is the time interval for one complete cycle? If the block is released from rest when the spring is stretched from its relaxed length by 3.0 cm, how much mechanical energy does the system possess? What is the maximum speed of the block?...
Two 3.00 kg balls are attached to the ends of a thin rod of
negligible mass, 50.0 cm long. The rod is free to rotate in a
vertical plane without friction about a horizontal axis through its
center. While the rod is horizontal (Fig. 12-46), a 65.0 g putty
wad drops onto one of the balls with a speed of 3.00 m/s and sticks
to it.(a) What is the angular speed of the system just after the putty
wad hits?(b)...
Angular Momentum and Inelastic Collisions Two balls, each with mass M/2, are attached to the ends of a thin rod of length L = 0.45 m and negligible mass. The rod is free to rotate in a horizontal plane without friction about a fixed vertical axis through its center. With the rod initially at rest (as shown), two wads of wet putty hit the balls at the same time and stick to them. Assume that the wads of putty have...
A ball of mass M = 1.40 kg and radius r = 4.70 cm is attached to one end of a thin, cylindrical rod of length L = 12.0 cm and mass m = 0.880 kg. The ball and rod, initially at rest in a vertical position and free to rotate around the axis shown in the figure below, are nudged into motion. M m (a) What is the rotational kinetic energy of the system when the ball and rod...
The rigid object shown in the figure consists of three balls, with M = 1.6 [kg], and three connecting rods, L = 0.60 [m], and 0 = 30°. The balls may be treated as point particles, and the connecting rods have negligible mass. Determine the rotational kinetic energy of the object if it has an angular speed of 1.2 [rad]/[s] about: (a) an axis that passes through point P and is perpendicular to the plane of the figure. (b) an...
A pendulum consists of a 2.5-kg bob attached to a light 1.2 m-long string. While hanging at rest with the string vertical, the bob is struck a sharp horizontal blow, giving it a horizontal velocity of 3m/s. At the instant the string makes an angle of 38 degree with the vertical, what is The speed, The tension in the string? What is the angle of the string with the vertical when the bob reaches its greatest
AXis Two spheres of mass m are attached to a light rod of length 2L. The rod is fixed at its center to a freely-rotating axis. The rod is horizontal when a small bird of mass 5m carefully lands on the right sphere. Express a answers in terms of m, L, and g (a) What is the net torque on the system the instant the bird lands (while the rod is still horizontal)? (b) Determine the angular acceleration of the...
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?
3) A pendulum consists of a solid spherical mass of mass 3m and radius R whose center is attached to the end of a uniform rod of mass m and length 4R which is pivoted about an axis at its end. a) The pendulum is constructed with a sphere of mass 1.5 kg and radius 15 cm, rod of mass .50 kg and length 60 cm. The mass swings in simple harmonic motion of maximum amplitude of /6 radians. Find...
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