the moment of inertia given is for the center of mass rather than the point where...
A yo-yo has a rotational inertia of 1100 g·cm2 and a mass of 118 g. Its axle radius is 1.99 mm, and its string is 133 cm long. The yo-yo rolls from rest down to the end of the string. (a) What is the magnitude of its linear acceleration? (b) How long does it take to reach the end of the string? As it reaches the end of the string, what are its (c) linear speed, (d) translational kinetic energy,...
Question 15 Flying Circus of Physics A yo-yo has a rotational inertia of 1150 g.cmand a mass of 113 g. Its axle radius is 2.48 mm, and its string is 119 cm long. Suppose that this yo-yo is thrown so that its initial speed down the string is 1.29 m/s. (a) How long does the yo-yo take to reach the end of the string? As it reaches the end of the string, what are its (b) total kinetic energy, (c)...
Question 15 Flying Circus of Physics A yo-yo has a rotational inertia of 1150 g.cm2 and a mass of 113 g. Its axle radius is 2.48 mm, and its string is 119 cm long. Suppose that this yo-yo is thrown so that its initial speed down the string is 1.29 m/s. (a) How long does the yo-yo take to reach the end of the string? As it reaches the end of the string, what are its (b) total kinetic energy,...
Moment of Inertia or Rotational Inertia. A solid cylinder has mass 25kg with radius 60 cm (a) Find its moment of inertia. (b) if the cylinder has a linear speed is 7.7ms, what is the magnitude of the angular momentum of the cylinder? (b) If the cylinder has a linear speed is 7.7m/s, what is the magnitude of the rotational kinetic energy of the cylinder?
The moment of inertia of the human body about an axis through its center of mass is important in the application of biomechanics to sports such as diving and gymnastics. We can measure the body's moment of inertia in a particular position while a person remains in that position on a horizontal turntable, with the bodys center of mass on the turntable's rotational axis. The turntable with the person on it is then accelerated from rest by a torque that...
A fan with the moment of inertia of 4 kgm2 is spinning with an angular speed of 10 rad/s. What is its rotational kinetic energy in J
Consider the following mass distribution where the x- and y-coordinates are given in meters: 5.0 kg at (0.0, 0.0) m, 3.3 kg at (0.0, 3.5) m, and 4.0 kg at (2.9, 0.0) m. Where should a fourth object of 7.5 kg be placed so that the center of gravity of the four-object arrangement will be at (0.0, 0.0) m? A 1.25 kg solid, uniform disk rolls without slipping across a level surface, translating at 4.00 m/s. If the disk's radius...
A typical ten-pound car wheel has a moment of inertia of about 0.35kg⋅m2. The wheel rotates about the axle at a constant angular speed making 45.0 full revolutions in a time interval of 5.00 s. What is the rotational kinetic energy K of the rotating wheel?
A Texas cockroach of mass 0.17 kg runs counterclockwise around the rim of a lazy Susan (a circular disk mounted on a vertical axle) that has radius 15 cm, rotational inertia 4.9 ✕ 10−3 kg · m2, and frictionless bearings. The cockroach's speed (relative to the ground) is 2.0 m/s, and the lazy Susan turns clockwise with angular speed ω0 = 2.9 rad/s. The cockroach finds a bread crumb on the rim and, of course, stops. (a) What is the...
A person of mass 80 kg stands at the center of a rotating merry-go-round platform of radius 3.5 m and moment of inertia 950 kg*m^2 . The platform rotates without friction with angular velocity 0.85 rad/s . The person walks radially to the edge of the platform. 1.Calculate the angular velocity when the person reaches the edge. w=______________ rad/s 2.Calculate the rotational kinetic energy of the system of platform plus person before the person's walk. Ki=____________ J 3.Calculate the rotational...