A small particle of mass m is pulled to the top of a frictionless half-cylinder (of radius R) by a light cord that passes over the top of the cylinder as illustrated below. a) Assuming the particle moves at a constant speed, show that F = mg cosθ.(15 points) b) By directly integrating, find the work done in moving the particle at a constant speed from the bottom to the top of the half-cylinder.
A small particle of mass m is pulled to the top of a frictionless half-cylinder (of...
Please answer all the parts, show all work and explain the
components. I will give you a thumbs up.
2. A small particle of mass m is pulled to the top of a frictionless half-cylinder (of radius by a light cord that passes over the top of the cylinder as shown. The force F is such that the particle moves at a constant speed v. R) (a) What is the normal foce on the particle when it is in the...
6. A small block on a frictionless, horizontal surface has a mass "m". It is attached to a massless cord passing through a hole in the surface. The block is originally revolving at a distance "r" with an angular speed "o". The cord is pulled below, shortening the radius to half it value. Given [r, m, ω.], Determine: a. The final angular speed. b. The amount of work done in pulling the cord.
A small block on a frictionless, horizontal surface has a mass of 2.60×10−2 kg . It is attached to a massless cord passing through a hole in the surface (the figure (Figure 1)). The block is originally revolving at a distance of 0.300 m from the hole with an angular speed of 1.65 rad/s . The cord is then pulled from below, shortening the radius of the circle in which the block revolves to 0.150 m. Model the block as...
A small block on a frictionless horizontal surface has a mass of 2.50×10^-2kg . It is attached to a massless cord passing through a hole in the surface.The block is originally revolving at a distance of 0.300m from the hole with an angular speed of 1.75 rad/s . The cord is then pulled from below, shortening the radius of the circle in which the block revolves to 0.150m . You may treat the block as a particle. How much work...
A small block on a frictionless
horizontal surface has a mass of 2.50×10−2 . It is attached to a
massless cord passing through a hole in the surface. (See the
figure below .) The block is originally revolving at a distance of
0.300 from the hole with an angular speed of 1.75 . The cord is
then pulled from below, shortening the radius of the circle in
which the block revolves to 0.150 . You may treat the block as...
A puck of mass m on a horizontal, frictionless table is connected to a string that passes through a small hole in the table. The puck is set into circular motion of radius R, at which time its speed is vi. If the string is pulled from the bottom so that the radius of the circular path is decreased to r, what is the expression for the final speed vf of the puck?
A small block with mass m is attached to a cord passing through
a hole in a frictionless, horizontal surface. The block is
initially revolving at a distance r from the hole with a speed vr.
as shown. (a) By what force F, applied by the hand is the block
held rotating? The cord is then pulled additionally from below,
shortening the radius of the circle in which the block revolves to
At this new distance, (b) what will the...
A small block on a frictionless, horizontal surface has a mass
of 0.0260 kg. It is attached to a massless cord passing through a hole in the
surface (see figure below). The block is originally revolving at a
distance of 0.320 m from the hole with an angular speed of 1.90rad/s.
The cord is then pulled from below, shortening the radius of the
circle in which the block revolves to 0.160 m. Model the block as a particle.(a) Is angular...
A small block on a frictionless horizontal surface has a mass of
0.0280 kg . It is attached to a massless cord passing through a
hole in the surface. (See the figure below (Figure 1) .) The block
is originally revolving at a distance of 0.310 m from the hole with
an angular speed of 1.80 rad/s . The cord is then pulled from
below, shortening the radius of the circle in which the block
revolves to 0.115 m ....
A small block on a frictionless, horizontal surface has a mass of 2.40x10-2 kg . It is attached to a massless cord passing through a hole in the surface (Figure 1). The block is originally revolving at a distance of 0.300 m from the hole with an angular speed of 2.39 rad/s. The cord is then pulled from below, shortening the radius of the circle in which the block revolves to 0.150 m. Model the block as a particle. Figure...