A single clothesline is attached to two poles 10.0 m apart. A pulley holding a mass (11 = 294 N rolls to the middle of the line and comes to rest there. The middle of the line is 0.40 m below each end. Determine the magnitude of the tension in the clothesline.
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- The hook is hanging from a cord that is wound around a drum of 0.5 m radius. If the weight of the hook causes the hook to fall from rest and was initially hanging 18 m from the ground, how many turns (in radians) will the drum make before the hook reaches the ground?Two buckets of mass m1=19.3 kg and m2=10.9 kg are attached to the ends of a massless rope which passes over a pulley with a mass of mp=7.13 kg and a radius of rp=0.350 m. Assume that the rope does not slip on the pulley, and that the pulley rotates without friction. The buckets are released from rest and begin to move. If the larger bucket is a distance d=1.75 m above the ground when it is released, with what speed ?v will it hit the ground?Of the two frictionless inclined planes with slopes of 30 ° and 53 °, masses m1 = 4kg on the first and m2 = 2kg on the second. These two masses are attached to the two ends of a rope passing through a reel of radius R = 50cm and moment of inertia I = 2 kg m2. Find the accelerations (the linear accelerations of the masses and the angular acceleration of the pulley) and the stresses in the rope. NOTE: The reel is rotating, the tensions in the rope are not equal.
- A block of mass m1 = 1.50 kg and a block of mass m2 = 6.25 kg are connected by a massless string over a pulley in the shape of a solid disk having radius R = 0.250 m and mass M = 10.0 kg. The fixed, wedge-shaped ramp makes an angle of ? = 30.0° as shown in the figure. The coefficient of kinetic friction is 0.360 for both blocks. (b) Determine the acceleration of the two blocks. (Enter the magnitude of the acceleration.)Two buckets of mass m1 = 20.5 kg and m2 = 12.7 kg are attached to the ends of a massless rope, which passes over a pulley with a mass of m = 8.13 kg and a radius of r = 0.350 m. Assume that the rope does not slip on the pulley and that the pulley rotates without friction. The buckets are released from rest, and begin to move. If the larger bucket is a distance d = 1.95 m above the ground when it is released, with what speed v will it hit the ground?A disk has a mass of 4 kg and while it is traveling at a speed of 5j m/s at a certain moment, it is subjected to a constant force on the horizontal surface and its speed is 14 i+10 j m/s in six seconds.Which of the following is the acting force?
- Consider the two force vectors D = (2.64 N)i + (-5.6 N)j + (2.75 N)k and F = (2.11 N)i + (2.8 N)j + ak. What should be the value of a, in units of N, so the two forces are perpendicular?Two mass (m1 = 6.35 and m2 = 5.31) are attached by a massless string over a pulley on a table (uk = 0.167). The pulley is a disk (mass = 2.35 and radius 0.36). Find the acceleration of the system.A person pushing a horizontal, uniformly loaded, 20.35 kg wheelbarrow of length ?L is attempting to get it over a step of height,h=0.370R, where R is the wheel's radius. The center of gravity of the wheelbarrow is in the center of the wheelbarrow. What is the horizontal component Px of the minimum force P→ necessary to push the wheelbarrow over the step? The gravitational acceleration is ?=9.81 m/s2.
- A block of mass m1 = 2.05 kg and a block of mass m2 = 6.35 kg are connected by a massless string over a pulley in the shape of a solid disk having radius R = 0.250 m and mass M = 10.0 kg. The fixed, wedge-shaped ramp makes an angle of ? = 30.0° as shown in the figure. The coefficient of kinetic friction is 0.360 for both blocks. (c) Determine the tensions in the string on both sides of the pulley.A block of mass m1 = 2.05 kg and a block of mass m2 = 6.40 kg are connected by a massless string over a pulley in the shape of a solid disk having radius R = 0.250 m and mass M = 10.0 kg. The fixed, wedge-shaped ramp makes an angle of ? = 30.0° as shown in the figure. The coefficient of kinetic friction is 0.360 for both blocks.Two blocks are attached by strings of negligible mass to a pulley with two radii R1=0.29 m and R2=0.69 m. The strings are wrapped around their respective radii so that the blocks can move either up or down. The pulley has a moment of inertia about its center I=0.221 kg⋅m2, and is supported by a bearing with negligible friction. If block 1 has a mass of 2.9 kg and block 2 has a mass of 0.42 kg, what is the magnitude of the angular acceleration of the pulley?