Question

In: Physics

a bucket of water with total mass 20 kg is attached to. a rope, which in...

a bucket of water with total mass 20 kg is attached to. a rope, which in turn wound around a 0.050 m radius cylinder at the top of a well. the bucket is raised to the top of the well and released. the bucket is moving with a speed of 8.0 m/s upon hitting the water surface in the well. calculat the following:
a. the torque produced by the falling bucket
b. the angular acceleration of the cylinder, if its momentum of inertia I =0.025 kg m^2
c. the falling distance of the bucket?

Solutions

Expert Solution


Related Solutions

A bucket of water of mass 16.0 kg is suspended by a rope wrapped around a...
A bucket of water of mass 16.0 kg is suspended by a rope wrapped around a windlass, that is a solid cylinder with diameter 0.320 m with mass 13.0 kg . The cylinder pivots on a frictionless axle through its center. The bucket is released from rest at the top of a well and falls a distance 10.6 m to the water. You can ignore the weight of the rope. What is the tension in the rope while the bucket...
) A 1.53-kg bucket hangs on a rope wrapped around a pulley of mass 7.07 kg...
) A 1.53-kg bucket hangs on a rope wrapped around a pulley of mass 7.07 kg and radius 66 cm.   This pulley is frictionless in its axle, and has the shape of a solid uniform disk. After the bucket has been released, what is the angular acceleration of the pulley?
A box of mass m = 10.0 kg is attached to a rope. The other end...
A box of mass m = 10.0 kg is attached to a rope. The other end of the rope is wrapped around a pulley with a radius of 15.0 cm. When you release the box, it begins to fall and the rope around the pulley begins to unwind, causing the pulley to rotate. As the box falls, the rope does not slip as it unwinds from the pulley. If the box is traveling at a speed of 2.50 m/s after...
A small bucket of water with mass of 2.5 kg is tied to a string with...
A small bucket of water with mass of 2.5 kg is tied to a string with a length 0.68 m, and swung in a vertical circle. The bucket travels at a constant speed 5.8 m/s. When the bucket is at the top of the circle, what is the tension in the string? Report your answer in SI units, rounded to two decimal places.
A 1-kg mass stretches a spring 20 cm. The system is attached to a dashpot that...
A 1-kg mass stretches a spring 20 cm. The system is attached to a dashpot that imparts a damping force equal to 14 times the instantaneous velocity of the mass. Find the equation of motion if the mass is released from equilibrium with an upward velocity of 3 m/sec. SOLVE THIS USING MATLAB CODE (SECOND ORDER DIFFERENTIAL EQUATIONS) SOLVE THIS USING MATLAB CODE (SECOND ORDER DIFFERENTIAL EQUATIONS) SOLVE THIS USING MATLAB CODE (SECOND ORDER DIFFERENTIAL EQUATIONS) SOLVE THIS USING MATLAB...
A 3 kg ball is attached to a tree branch by a 2.0 m long rope....
A 3 kg ball is attached to a tree branch by a 2.0 m long rope. It is released from rest when the string is parallel to the ground. Just at it swings to its lowest point, it collides elastically head-on with a 2 kg ball of the same dimension, but going in the opposite direction. The 3 kg ball rebounds at a speed of 13 m/s after the collision. Find the speed of the 2 kg ball before the...
A simple pendulum consists of a 3.0kg mass attached to a 5.0m long light rope. The...
A simple pendulum consists of a 3.0kg mass attached to a 5.0m long light rope. The upper end of the rope is fixed on the ceiling of the lecture theatre. At time t = 0s the rope holding the mass makes an angle 0.040rad to the left of its equilibrium position moving to the right at 0.056rad/s . a) What is the maximum angle the rope makes with the vertical? answer = 0.057rad b) When is the first time after...
Two blocks with different mass are attached to either end of a light rope that passes...
Two blocks with different mass are attached to either end of a light rope that passes over a light, frictionless pulley that is suspended from the ceiling. The masses are released from rest, and the more massive one starts to descend. After this block has descended a distance 1.20m , its speed is 1.50m/s . a. If the total mass of the two blocks is 16.0kg , what is the mass of the more massive block? Take free fall acceleration...
A fire helicopter carries a 618 kg bucket of water at the end of a 20.6...
A fire helicopter carries a 618 kg bucket of water at the end of a 20.6 m long cable. Flying back from a fire at a constant speed of 38.4 m/s, the cable makes an angle of 35.2o with respect to the vertical. Determine the force of air resistance on the bucket. (In N)
An elevator (1500 kg mass, with passengers) is attached to a 1000 kg counterweight by a...
An elevator (1500 kg mass, with passengers) is attached to a 1000 kg counterweight by a cable that is wrapped over a pulley. It is also attached (by a second cable) to a motor. The elevator is moving down at a constant speed of 5 m/s. a) Determine the force that the motor must apply to the second cable. b) Determine the force that the motor must exert to lower the elevator with a constant downward acceleration of 1 m/s^2....
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT