A ball with a weight of 70 N hangs from a string that is coiled around a 3 kg pulley with a radius of 0.4 m. Both the ball and the pulley are initially at rest. The rotational inertia of the pulley is 0.5mr2 and the ball is released from rest. Calculate the ball's velocity after it falls a distance of 2 meters.
Q: A professor sits on a rotating stool that is spinning at 10.010.0 rpm while she holds a heavy weight…
A: initial angular velocity = W1 = 10.01 rpm distance = r1= 0.775 m final angular velocity = W2 = 20.5…
Q: The system shown below is released from rest. The m, = 27 kg block is 2 m above the ledge. The…
A: (a) Find the speed of the 27 kg block just before it hits the ledge. (b)Find the angular speed of…
Q: A massless string is wrapped around a solid 7.6-kg cylinder of diameter 24 cm that can rotate freely…
A: mass of cylinder (M) = 7.6 kg diameter of cylinder = 24 cm radius of cylinder = 12 cm R = 0.12 m…
Q: A horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a…
A: Given Information:- Radius of the horizontal platform is R=3.56 m Moment of inertia of the circular…
Q: A circular bird feeder 19 cm in radius has rotational inertia 0.17 kg⋅m2. The feeder is suspended by…
A:
Q: A sphere with a diameter of 8.95 cm and mass of 460 g is released from rest at the top of a 3.30 m,…
A: Given: The diameter is d=8.95 cm The mass is M=460 g=0.46 kg The height is h=3.30 m The angle is…
Q: A professor sits on a rotating stool that is spinning at 10.0 rpm while she holds a heavyweight in…
A: L: angular momentum Just as p = mv, L = Iω, I = sum of mr² L₀ = 2mr₀²ω₀ Lf = 2mrf²ωf
Q: A 30 kg child stands on the edge of a stationary merry-go-round of mass 100 kg and radius 2.0 m.…
A:
Q: A professor sits on a rotating stool that is spinning at 10.0 rpm while she holds a heavy weight in…
A:
Q: horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a…
A:
Q: w = 0 v = 0 The block of mass m=4.30 kg is attached to a light string around a pulley, as shown in…
A: Write the equation for the torque. TorqueT=MOI×Angular acceleration αT=Iα…
Q: A gyroscope has a 0.9 kg disk that spins around its axis of symmetry at 32 rev/s. The center of mass…
A: According to question--- Given that--- mass = 0.9 kg. Angular frequency = 32 rev /sec. R = 18 cm.…
Q: A solid cylinder of mass 6.1 kg and radius 0.63 m starts from rest at the top of a ramp, inclined…
A:
Q: Zorch, an archenemy of Superman, decides to slow Earth's rotation to once per 29 h exerting a force…
A: It is an easy question. Now first thing we have to do is to convert time period to angular velocity…
Q: A wind turbine has a moment of inertia of 2.8*10^11 kg*m^2 . How much energy is required to speed it…
A:
Q: A 5 kg ball with a 0.4 meter radius is rolling on a horizontal surface at 3 m/s. The rotational…
A: This question is based on law of conservation of energy and pure rolling motion.
Q: The masses and coordinates of four particles are as follows: 40 g, x = 3.0 cm, y = 1.0 cm; 30 g, x =…
A: The moment of inertia is the product of mass and square of distance from axis. ie, I = mr2
Q: A potter's wheel with a moment of inertia of 0.1 kg-m² is spinning freely at 35.17 rpm. The potter…
A: in this question we determine mass in kg.
Q: Q. In Figure, block 1 has mass m 1-460 g, block 2 has mass m 2-500 g, and the pulley, which is…
A:
Q: A horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a…
A: Solution: Given: r1 = radius of merry go round = 1.54 m I1 = rotational inertia of merry go round =…
Q: A ball with a weight of 70 N hangs from a string that is coiled around a 3 kg pulley with a radius…
A: Given data: The weight of ball is W=70 N. Mass of pulley is m=3 kg. Radius of pulley is r=0.4 m.…
Q: A sphere with a diameter of 13.85 cm and a mass of 365 g is released from rest at the top of a 2.90…
A: Given: D=13.85 cm=0.1385 mm=365 g=0.365 kgl=2.90 mθ=12.0°
Q: A propeller is modeled as five identical uniform rods extending radially from its axis. The length…
A: Moment of inertia of each rod = (1/3) M L2 Therefore, moment of inertia of 5 rods = (5) * (1/3) M L2…
Q: 250 g , 25-cm diameter plastic disk is spun on an axle through its center by an electric motor. What…
A: Mass of the disc, m = 250 g = 0.25 kg Diameter of the disc, d = 25 cm = 0.25 m Disc rotate from 0 to…
Q: A turntable (disk) of radius r= 25.0 cm and rotational inertia 0.395 kg m rotates with an angular…
A: Given:- radius of the disk = 25.0 cm rotational inertia I1 = 0.395 kg/m2…
Q: A ball with a weight of 70 N hangs from a string that is coiled around a 3 kg pulley with a radius…
A:
Q: A professor sits on a rotating stool that is spinning at 10.0 rpm while she holds a heavy weight in…
A: (given) Initial angular speed = 10 rpm Final angular speed = 40.5 rpm Distance (r1) of the weight…
Q: nerry-go-round, what is the new angular velocity in revolutions per minute? I
A:
Q: A professor sits on a rotating stool that is spinning at 10.0 rpm while she holds a heavy weight in…
A: Given: Initial angular speed, ω₁ = 10.0 rpm distance of the weight from the axis of rotation, r₁ =…
Q: A horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a…
A:
Q: 20 kg pulley with a 0.5 m radius is initially at rest. The rotational inertia of the pulley is 0.47…
A: Rotational concept
Q: A pulley with an unknown mass has a 0.3m radius that is initially at rest. The rotational inertia of…
A: Given that, A pulley with an unknown mass has a 0.3m radius that is initially at rest. The…
Q: A person pushes on a lever 0.7 meters away from the axis of rotation with 100 N of force. The…
A:
Q: A 5 kg ball with a 0.4 meter radius is rolling on a horizontal surface at 3 m/s. The rotational…
A: Given: The mass (m) of the ball is 5 Kg. The radius (r) of the ball is 0.4 m. The linear velocity…
Step by step
Solved in 4 steps
- A 22g ball moves from the centre to the outside edge of a 150g disk of radius 15.0 cm. The disk was initially rotating at 11.0 rad/s. What will be its final angular velocity? Treat the ballas a point mass. Inertia of the disk is(1/2)MRA horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a vertical axle through the center of the disk. The platform has a radius of 4.62 m and a rotational inertia of 101 kg-m2 about the axis of rotation. A 66.8 kg student walks slowly from the rim of the platform toward the center. If the angular speed of the system is 2.10 rad/s when the student starts at the rim, what is the angular speed when she is 0.592 m from the center? Number i UnitsA massless string is wrapped around a solid 7.6-kg cylinder of diameter 24 cm that can rotate freely withoutfriction about an axis through its center. A stone is tied to the loose end of the string. When the stone isreleased from rest, the cylinder turns without the string slipping. If the cylinder has an angular velocity of26 rad/s after 1.4 s, what is the mass of the stone? Through how many revolutions does the cylinder turn inthis time?
- A cord is wrapped around the rim of a wheel 0.225 m in radius, and a steady pull of 41.5 N is exerted on the cord. The wheel is mounted on frictionless bearings on a horizontal shaft through its center. The moment of inertia of the wheel about this shaft is 5.50 kg m² 世 ProvA typical helicopter with four blades rotates at 370 rpm and has a kinetic energy of 7.05 x 105 J. What is the total moment of inertia, in kg. m² of the blades?A 30 kg child stands on the edge of a stationary merry-go-round of mass 100 kg and radius 2.0 m. The rotational inertia of the merry-go-round about its axis of rotation is 150 kgm2. The child catches a ball of mass 1.0 kg travelling at 16 m/s at an angle Ø=37º thrown by a friend. If the merry-go-round starts at rest, what is the angular speed of the merry-go-round just after the ball is caught.
- A ball with a weight of 70 N hangs from a string that is coiled around a 3 kg pulley with a radius of 0.4 m. Both the ball and the pulley are initially at rest. The rotational inertia of the pulley is 0.5mr2 and the ball is released from rest. Calculate the ball's velocity after it falls a distance of 2 meters.A small 0.400-kg object moves on a frictionless horizontal table in a circular path of radius 3.30 m. The angular speed is 6.63 rad/s. The object is attached to a string of negligible mass that passes through a small hole in the table at the center of the circle. Someone under the table begins to pull the string downward to make the circle smaller. If the string will tolerate a tension of no more than 113N, what is the radius of the smallest possible circle on which the object can move?A 1.0-kg mass hangs on a rope wrapped around a frictionless disk pulley of mass 5 kg and radius 0.5 m. What is the acceleration of the mass? (The moment of inertia of the pulley is 1/2MR2.)
- A small 0.340-kg object moves on a frictionless horizontal table in a circular path of radius 1.10 m. The angular speed is 7.09 rad/s. The object is attached to a string of negligible mass that passes through a small hole in the table at the center of the circle. Someone under the table begins to pull the string downward to make the circle smaller. If the string will tolerate a tension of no more than 108 N, what is the radius of the smallest possible circle on which the object can move? Number UnitsA playground merry-go-round of radius 4m has a moment of inertia of 324 kg m² and is rotating at 11 rev/min about a frictionless vertical axle. Facing the axle, a 25.0 kg child hops on and manages to sit down on the edge. What is the new rotational speed of the merry-go-round in rev/min?A 10 kg cylindrical barrel with a radius of 0.5 m rotates about a vertical axis of rotation without displacing with an initial angular velocity of 4 rad/s. The rotational inertia of the cylindrical barrel is 0.3mr2 and rain begins to fill the barrel with water as it rotates. If the barrel accumulates 4 kg of water, calculate the new angular velocity of the barrel.