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 the pulley (radius 0.080 m) because the pulley rotates on a frictionless axle. The horizontal surface on which block A (mass 2.50 kg) moves is frictionless. The system is released from rest, and block B (mass 6.00 kg) moves downward 1.80 m in 2.00 s. (a) What is the tension force that the rope exerts on block B? (b) What is the tension force on block A? (c) What is the moment of inertia of the pulley for rotation about the axle on which it is mounted?

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 the pulley (radius 0.080 m) because the pulley rotates on a frictionless axle. The horizontal surface on which block A (mass 2.50 kg) moves is frictionless. The system is released from rest, and block B (mass 6.00 kg) moves downward 1.80 m in 2.00 s. (a) What is the tension force that the rope exerts on block B? (b) What is the tension force on block A? (c) What is the moment of inertia of the pulley for rotation about the axle on which it is mounted?

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 solid cylinder is mounted above the ground with its axis of rotation oriented horizontally. A rope is wound around the cylinder and its free end is attached to a block of mass 55.0 kg that rests on a platform. The cylinder has a mass of 255 kg and a radius of 0.490 m. Assume that the cylinder can rotate about its axis without any friction and the rope is of negligible mass. The platform is suddenly removed from under the block. The block falls down toward the ground and as it does so, it causes the rope to unwind and the cylinder to rotate. (a) What is the angular acceleration, in rad/s², of the cylinder? rad/s2 (b) How many revolutions does the cylinder make in 5 s? rev (c) How much of the rope, in meters, unwinds in this time interval?
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
A circular disc of mass M and radius R is rotating about its axis with angular speed ω1 . If another stationary disc having radius R/2 and same mass M is droped co-axially on to the rotating disc. Gradually both discs attain constant angular speed ω2. The energy lost in the process is p% of the initial energy. Value of p is
One end of a cord is fixed and a small 0.400-kg object is attached to the other end, where it swings in a section of a vertical circle of radius 1.50 m, as shown in the figure below. When θ = 23.0°, the speed of the object is 5.50 m/s. An object is swinging to the right and upward from the end of a cord attached to a horizontal surface. The cord makes an angle θ with the vertical. An arrow labeled vector v points in the direction of motion. (a) At this instant, find the magnitude of the tension in the string.Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. N(b) At this instant, find the tangential and radial components of acceleration. at = Your response differs from the correct answer by more than 100%. m/s2 downward tangent to the circle ac = Your response differs from the correct answer by more…
At the instant of the figure, a 7.70 kg particle P has a position vector of magnitude 6.70 m and angle 0₁ = 49.0° and a velocity vector of magnitude 8.90 m/s and angle 0₂ = 29.0°. Force F, of magnitude 9.80 N and angle 03 = 29.0° acts on P. All three vectors lie in the xy plane. About the origin, what are the magnitude of (a) the angular momentum of the particle and (b) the torque acting on the particle? (a) Number i (b) Number Units Units V. 0 0₂
At the instant of the figure, a 1.40 kg particle P has a position vector of magnitude 2.90 m and angle 0₁ = 48.0° and a velocity vector of magnitude 7.50 m/s and angle 0₂ = 32.0°. Force F, of magnitude 6.20 N and angle 03 = 32.0° acts on P. All three vectors lie in the xy plane. About the origin, what are the magnitude of (a) the angular momentum of the particle and (b) the torque acting on the particle? (a) Number i (b) Number Units Units F03 x
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 turntable (disk) of radius r = 27.0 cm and rotational inertia 0.440 kg · m2 rotates with an angular speed of 2.98 rad/s around a frictionless, vertical axle. A wad of clay of mass m = 0.242 kg drops onto and sticks to the edge of the turntable. What is the new angular speed of the turntable? (A) _______ rad/s
A potter's wheel having a radius 0.48 m and a moment of inertia of 10.5 kg · m2 is rotating freely at 50 rev/min. The potter can stop the wheel in 4.0 s by pressing a wet rag against the rim and exerting a radially inward force of 69 N. Find the effective coefficient of kinetic friction between the wheel and the wet rag.
In the figure, two blocks, of mass m1 = 257 g and m2 = 337 g, are connected by a massless cord that is wrapped around a uniform disk of mass M = 492 g and radius R = 10.1 cm. The disk can rotate without friction about a fixed horizontal axis through its center; the cord cannot slip on the disk. The system is released from rest. Find (a) the magnitude of the acceleration of the blocks, (b) the tension T1 in the cord at the left and (c) the tension T2 in the cord at the right. M R T2 (a) Number i 0.095238 Units m/s^2 (b) Number Units (c) Number i Units
The frame is made from uniform rod which has a mass p per unit length. A smooth recessed slot constrains the small rollers at A and B to travel horizontally. Force P is applied to the frame through a cable attached to an adjustable collar C. Determine the magnitudes and directions of the normal forces which act on the rollers if (a) h = 0.24L, (b) h = 0.50L, and (c) h = 0.91L. The forces will be positive if up, negative if down. Evaluate your results for p = 1.8 kg /m, L = 575 mm, and P = 48 N. What is the acceleration of the frame in each case? (a) Answers: (b) L (c) A h = 0.24L: h = 0.50L: h = 0.91L: L A = A A = B i i i P B N₁ B N, B N, i i N₁ª N,9 N₁9 i i m/s m/s m/s