
In the figure, a very light rope is wrapped around a wheel o radius R =...
A chain with negligible mass is wrapped around a gear of radius R = 2.0 meters, and it cannot slip. The gear rotates without friction about an axis through its center. A weight of mass M = 14 kg a suspended from the end of the chain. When the system is released from rest it is observed that the weight descends 10 meters in 2.0 seconds. What is the moment of inertia j of the gear (assuming it is a...
A light rope is wrapped several times around a large wheel with a radius of 0.395 m. The wheel rotates in frictionless bearings about a stationary horizontal axis, as shown in the figure (Figure 1). The free end of the rope is tied to a suitcase with a mass of 16.5 kg. The suitcase is released from rest at a height of 4.00 m above the ground. The suitcase has a speed of 3.00 m/s when it reaches the ground....
A 20.0kg box is suspended by a very light rope wrapped around a solid disc of 0.5m in diameter. The mass of the disc is 10kg. The disc pivots on a frictionless axle through its center. The box is then released from rest and falls 15m to the floor. Moment of inertia of a solid disc I=1/2_MR^2. a) Draw free body diagram for the box and the disc. b) Determine the tension in the rope while the box is falling....
A light rope is wrapped several times around a large wheel with a radius of 0.405 m . The wheel rotates in frictionless bearings about a stationary horizontal axis, as shown in the figure (Figure 1) . The free end of the rope is tied to a suitcase with a mass of 13.0 kg . The suitcase is released from rest at a height of 4.00 m above the ground. The suitcase has a speed of 3.15 m/s when it...
A light string is wrapped
around the outside of a 2.0-kg-wheel whose radius is 75 cm. The
wheel has a frictionless axel that allows it to rotate but prevents
its center of mass from moving. Assume the moment of inertia of the
wheel is the same as that of a point particle of equal mass at the
same radius from the axel. The string is then attached to a 3.0-kg
hanging mass that is released from rest. While the mass...
A thin, light wire is wrapped around the rim of a wheel, as shown in the following figure. The wheel rotates without friction about a stationary horizontal axis that passes through the center of the wheel. The wheel is a uniform disk with radius 0.270 m. An object of mass 4.40 kg is suspended from the free end of the wire. The system is released from rest and the suspended object descends with constant acceleration. (Figure 1) If the suspended...
In
the figure below, a wheel of radius 0.15 m is mounted on a
frictionless horizontal axle. A massless cord is wrapped around the
wheel and attached to a 2.0 kg box that slides on a frictionless
surface inclined at angle θ = 25° with the horizontal. The
box accelerates down the surface at 2.1 m/s2. What is
the rotational inertia of the wheel about the axle?
______ kg · m2
In the figure below, a wheel of radius 0.15...
A 12.0 kg object is attached to a cord that is wrapped around a
wheel of radius 10.0 cm. The acceleration of the object down the
frictionless incline is measured to be 2.00 m/s2. Assuming the axis
of the wheel to be frictionless, determine a) the tension in the
rope, b) the moment of inertia of the wheel, and c) the angular
speed of the wheel 2.00 s after it begins rotating, starting from
rest.
A 12.0 kg object is...
A device is made of a wheel with an inner drum and is mounted on a frictionless axle so it does not translate but can rotate about its centre. As indicated in the figure, this device is used to lift a 30.0 kg box. The outer radius R of the device is 0.500 m and the radius of the inner drum is 0.200 m. A constant horizontal force F of magnitude 140 N is applied horizontally, as shown, to a...
A wheel (radius = 0.30 m) is mounted on a frictionless, horizontal axis. A light cord wrapped around the wheel supports a 0.50-kg object. When released from rest the object falls with a downward acceleration of 5.0 m/sec. 111 TL LLLL 17. Find the tension on the cord. 18. Find the angular acceleration of the wheel. 19. Find the moment of inertia of the wheel. mg