A string is wound around a homogeneous, horizontal cylinder of mass M and radius R. The cylinderis then held above the ground and released from rest. As the string unwinds and the cylinder spins,the end of the string is continually pulled vertically upwards with a force that is just sufficient to keepthe cylinder from descending to the ground. The figure shows the situation viewed from the side.R(a) Identify the forces acting on the system (string and cylinder) and determine an expression for thetension in the vertical portion of the string.(b) Determine the angular acceleration of the cylinder.(c) What is the upward acceleration of any point along the vertical portion of the string?

Answered: Image /qna-images/answer/81940e1a-37ce-496f-816e-550a4a1f27a0.jpg

Answered: A string is wound around a homogeneous,…

Similar questions

Block A rests on a horizontal tabletop. A light horizontal rope is attached to it and passes over a pulley, and block B is suspended from the free end of the rope. The light rope that connects the two blocks does not slip over the surface of thè pulley (radius 0.080 m) because the pulley rotates on a frictionless axle. The horizontal surface on which block A (mass 3.70 kg) moves is frictionless. The system is released from rest, and block B (mass 6.00 kg) moves Part A What is the tension force that the rope exerts on block B? downward 1.80 m in 2.00 s. Express your answer with the appropriate units. HÁ TB = Value Units Submit Request Answer Part B What is the tension force that the rope exerts on block A? Express your answer with the appropriate units. HẢ 王新 TA= Value Units
A puck of mass m1 is tied to a string and allowed to revolve in a circle of radius R on a frictionless, horizontal table. The other end of the string passes through a small hole in the center of the table, and an object of mass m2 is tied to it (as shown). The suspended object remains in equilibrium while the puck on the tabletop revolves. Find symbolic expressions for (a) the tension in the string, (b) the radial force acting on the puck, and (c) the speed of the puck. (d) Qualitatively describe what will happen in the motion of the puck if the value of m2 is increased by placing a small additional load on the puck. (e) Qualitatively describe what will happen in the motion of the puck if the value of m2 is instead decreased by removing a part of the hanging load.
The two blocks are connected by a massless rope that passes through a pulley. Mass of first block is m1 = 1 kg, mass of the second block is m2= 5 kg. Mass of the pulley is M = 2 kg. Radius of the pulley is R= 10 cm. First block is placed on the 30 incline and the second block is hanging above the table at the height of 40 cm. Then, the system is released and the first block starts sliding up the incline and the second block starts falling toward the table. a) forces that apply to the pulley. b) pulley. Consider the pulley to be a disc and use disc's moment of inertia(/ = MR?/2) c) acceleration of the blocks. Draw the FBD for both blocks and draw separately the Write down equations of motion for the blocks and Using the equations from part (b) to calculate the Finally, find the velocity that the second block will d) acquire just before hitting the table using energy. m1 m2
Zorch, an archenemy of Superman, decides to slow the Earth's rotation to once per 39.5 h by exerting an opposing force at the equator and parallel to it. Superman is not immediately concerned, because he knows Zorch can only exert a force of 3.20 107 N (comparable to a Saturn V rocket's thrust). Assume the Earth's initial rotation is exactly once per 24.0 h to find how long Zorch must push with this force to accomplish his goal. (This gives Superman time to devote to other villains. The Earth's mass is 5.98 1024 kg and its radius is 6.38 106 m.)
A 0.20 kg yo-yo consists of two solid disks of radius 7.30 cm joined together by a massless rod of radius 1.0 cm and a string wrapped around the rod. One end of the string is held fixed and is under constant tension T as the yo-yo is released. (a) Find the acceleration of the yo-yo. (solved).35 m/s2(b) Find the tension T. (unsolved)
The drawing shows two identical systems of objects; each consists of the same three small balls connected by massless rods. In both systems the axis is perpendicular to the page, but it is located at a different place, as shown. The same force of magnitude F is applied to the same ball in each system (see the drawing). The masses of the balls are m1 = 9.0 kg, m2 = 6.1 kg, and m3 = 7.9 kg. The magnitude of the force is F = 441 N. (a) For each of the two systems, determine the moment of inertia about the given axis of rotation. (b) Calculate the torque (magnitude and direction) acting on each system. (c) Both systems start from rest, and the direction of the force moves with the system and always points along the 4.00-m rod. What is the angular velocity of each system after 5.35 s?
One end of a string is wrapped several times around a pulley of mass 0.92 kgkg that is oriented vertically. The other end of the string is connected to a block of mass 0.35 kg, which is then slowly lowered until the string becomes taut. After which the person lets go of the block completely, thus allowing the block to descend and the pulley to rotate in unison. What is the magnitude of the acceleration of the block after the person has let go?
An air puck of mass m1 = 0.27 kg is tied to a string and allowed to revolve in a circle of radius R = 1.1 m on a frictionless horizontal table. The other end of the string passes through a hole in the center of the table, and a mass of m2 = 0.8 kg is tied to it (see the figure below). The suspended mass remains in equilibrium while the puck on the tabletop revolves. An overhead view of a table is shown. A string is used to whirl a puck of mass m1counterclockwise with velocity vector v on a horizontal circular path of radius R on the surface of the table. The string passes through a hole at the center of the circular path, and then extends down under the table where an object of mass m2 is attached. (a) What is the tension in the string (in N)? N (b) What is the horizontal force acting on the puck (in N)? N (c) What is the speed of the puck (in m/s)? m/s
please answer letter d and e
A block weights 150g and it’s attached to a 0.6m long string. The block starts from rest and begins to spin in a circle accelerating at a constant rate of 0.25 rad/s^2 on a horizontal surfaces if the string has a max tension of 5N. How long does it take for the string to break? How many revolutions did the block complete? Please Use the equations provided.
Consider two boxes initially at rest as shown, each of mass 5.0 kg, that are connected by a massless string over a pulley of radius 5.0 cm and rotational inertia equal to 4.0 x 10-3 kg·m². The coefficient of kinetic friction between the inclined surface and the box is 0.15. Find the speed of the boxes just after they have moved 1.0 m. Justify approach taken as you begin your solution. 30° m m
A tire is tied to a rope that is tied to the branch of a tree so that the tire swings in a circular trajectory of radius h1 = 15.31 m. A child takes the tire to the top of a platform that is a height h2 = 12.60 m above the ground, sits in the tire, and swings from rest from the platform. The combined mass of the tire and child is 36 kg. The rope is taut when the child leaves the platform and you may neglect the mass of the rope. At the bottom of the circular trajectory, the child and tire are a height h3 = 0.99 m above the ground. include a diagram showing the physical sites (a) Calculate the speed of the child/tire at the bottom of the circular trajectory. m/s (b) Calculate the maximum tension in the rope as the child/tire swing back and forth. N

SEE MORE QUESTIONS