A solid, frictionless cylinder reel of mass M= 2.95 kg and radius R = 0.392 m is used to draw water from a well (see Figure (a)). A bucket of mass m= 1.82 kg is attached to a cord that is wrapped around the cylinder. (Indicate the direction with the sign of your answer.)(a) Find the tension T in the cord and acceleration a of the bucket.
T = | ??? N |
a = | ?? m/s2 |
(b) If the bucket starts from rest at the top of
the well and falls for 2.90 s before hitting the water, how far
does it fall?
?m
A hollow cylinder of mass 0.135 kg and radius 4.30 cm has a string wrapped several times around it, as shown in Figure (d). A string is attached to a rigid support and the cylinder allowed to drop from rest. (Indicate the direction with the sign of your answer.)
(a) Find the acceleration of the cylinder.
aCylinder
????= m/s2
(b) Find the speed of the cylinder when a meter of string has
unwound off of it.
v|Cylinder| ?= m/s
A solid, frictionless cylinder reel of mass M= 2.95 kg and radius R = 0.392 m is...
A solid, frictionless cylinder reel of mass M = 3.13 kg and radius R = 0.437 m is used to draw water from a well (see Figure (a)). A bucket of mass m = 2.04 kg is attached to a cord that is wrapped around the cylinder. (Indicate the direction with the sign of your answer.) (a) Find the tension T in the cord and acceleration a of the bucket. T = N a = m/s2 (b) If the bucket...
Use the worked example above to help you solve this problem. A solid, frictionless cylinder reel of mass M 2.60 kg and radius R = 0.397 m is used to draw water from a well (see Figure (a)). A bucket of mass m = 2.19 kg is attached to a cord that is wrapped around the cylinder. (Indicate the direction with the sign of your answer.) (a) Find the tension l' in the cord and acceleration a of the bucket....
A solid, frictionless cylindrical reel of mass M=3.00 kg and radius R=0.400m is used to draw water from a well, A bucket of mass m=2.00kg is attached to a cord that is wrapped around the cylinder. If the bucket starts from rest at the top of the well and falls for 3.00s before hitting the water, how deep is the well.
A solid, frictionless cylindrical reel of mass M=5.00kg and radius R=0.55m is used to draw water from a well, A bucket of mass m=1.75kg is attached to a cord that is wrapped around the cylinder. If the bucket starts from rest at the top of the well and falls for 3.00s before hitting the water, how deep is the well?
One end of a cord is attached to and wrapped around a solid, frictionless cylinder of mass M=4.1 kg. The other end of the cord is attached to a bucket of mass 1.1 kg. A brake applied to the cylinder is released, allowing the bucket to fall downward. Find the acceleration of the bucket in m/s2.
M, a solid cylinder (M=1.79 kg, R=0.119 m) pivots on a thin, fixed, frictionless bearing. A string wrapped around the cylinder pulls downward with a force F which equals the weight of a 0.630 kg mass, i.e., F = 6.180 N. a) Calculate the angular acceleration of the cylinder. b) If instead of the force F an actual mass m = 0.630 kg is hung from the string, find the angular acceleration of the cylinder. c) How far does m...
M, a solid cylinder (M=2.23 kg, R=0.131 m) pivots on a thin, fixed, frictionless bearing. A string wrapped around the cylinder pulls downward with a force F which equals the weight of a 0.870 kg mass, i.e., F = 8.535 N. Calculate the angular acceleration of the cylinder. 5.84×101 rad/s^2 If instead of the force F an actual mass m = 0.870 kg is hung from the string, find the angular acceleration of the cylinder. How far does m travel...
M, a solid cylinder (M=1.39 kg, R=0.111 m) pivots on a thin, fixed, frictionless bearing. A string wrapped around the cylinder pulls downward with a force F which equals the weight of a 0.570 kg mass, i.e., F = 5.592 N. Calculate the angular acceleration of the cylinder. (the answer to this is 39.8 rad/s^2) The cylinder is changed to one with the same mass and radius, but a different moment of inertia. Starting from rest, the mass now moves...
An object with a mass of m - 4.80 kg is attached to the free end of a light string wrapped around a reel of radius R - 0.275 m and mass of M 3.00 kg. The reel is a solid disk, free to rotate in a vertical plane about the horizontal axis passing through its center as shown in the figure below. The suspended object is released from rest 6.80 m above the floor. (a) Determine the tension in...
M, a solid cylinder (M=2.27 kg, R=0.127 m) pivots on a thin, fixed, frictionless bearing. A string wrapped around the cylinder pulls downward with a force F which equals the weight of a 0.770 kg mass, i.e., F = 7.554 N. I know the answers to A and B, but I need help with C and D A) Calculate the angular acceleration of the cylinder. (ANSWER: 52.4rad/s^2) B) If instead of the force F an actual mass m = 0.770...