The figure shows an arrangement in which four disks are suspended by cords. The longer, top cord loops over a frictionless pulley and pulls with a force of magnitude 93.8 N on the wall to which it is attached. The tensions in the shorter cords are T₁-65.4 N, T2-47.4 N, and T3-7.15 N. What are the masses of (a) disk A, (b) disk B, (c) disk C, and (d) disk D?
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A: Step 1: Step 2: Step 3: Step 4: don't forget to upvote :) thank you and comment if doubt exists
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- Create a FBD for segment 1 that is attached to the lower end of the cord. Assume, for the moment, that the weight is in equilibrium. Given: Enumerate the segments as i=1,⋯,N from the lower to the upper end. Let T0 be the tension at the lower end of the cord. Let Ti be the tension at the upper end of segment i. Let Fg,M be the weight of the mass on the end of the cord. Let Fg,i be the weight of segment i of the cord.Create a FBD for segment 2 that is attached to the lower end of the cord. Assume, for the moment, that the weight is in equilibrium. Given: Enumerate the segments as i=1,⋯,N from the lower to the upper end. Let T0 be the tension at the lower end of the cord. Let Ti be the tension at the upper end of segment i. Let Fg,M be the weight of the mass on the end of the cord. Let Fg,i be the weight of segment i of the cord.The figure shows particles 1 and 2, each of mass m, attached to the ends of a rigid massless rod of length L₁ + L2, with L₁ = 1.0 m and L2 = 7.0 m. The rod is held horizontally on the fulcrum and then released. What are the magnitudes of the initial accelerations of (a) particle 1 and (b) particle 2? -L₂- 100
- 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 m2Children playing pirates have suspended a uniform wooden plank with mass M = 13.4 kg, length ℓ = 2.40 m, and angle θ = 35.0°, as shown in the figure. Sophia, with a mass of m = 21.6 kg, is made to "walk the plank" and is d = 1.5 m from reaching the end of the plank. What is the tension acting on the rope at the end (i.e value of F3)?In the figure, block 1 has mass m, = 440 g, block 2 has mass m2 = 590 g, and the pulley is on a frictionless horizontal axle and has radius R= 5.4 cm. When released from rest, block 2 falls 78 cm in 5.3 s without the cord slipping on the pulley. (a) What is the magnitude of the acceleration of the blocks? What are (b) tension T2 (the tension force on the block 2) and (c) tension T1 (the tension force on the block 1)? (d) What is the magnitude of the pulley's angular acceleration? (e) What is its rotational inertia? Caution: Try to avoid rounding off answers along the way to the solution. Use g = 9.81 m/s?. m, m2 (a) Number i Units (b) Number i Units (c) Number i Units (d) Number i Units (e) Number Units > > > >
- please answer letter d and eA pulley has a negligible mass (that means, the radius is not relevant). It is supported with a pin at the center (and is free to rotate). A rope goes over the pulley. Block A, which has a mass of 5.723 kg is connected to one side of the rope. On the other side, Block B, with a mass of 12.602 kg is connected. The system is released from rest. What is the speed of block B, after B has traveled 0.716 m? Please enter a positive value in m/s (but without units) regardless of the direction of the motion of BA 1.5 kg block is connected by a rope across a 50-cm-diameter, 2.0 kg pulley, as shown. There is no friction in the axle, but there is friction between the rope and the pulley; the rope doesn’t slip. The weight is accelerating upward at 1.2 m/s2. What is the tension in the rope on the right side of the pulley?
- Consider the setup shown below. The blocks have masses 3.6 kg and 24 kg. The pulley has mass 7.4 kg, and is a uniform disc with radius 0.23 m. Assume the pulley to be fric- tionless, but the coefficient of friction between the block and the surface is 0.36. a T2 3.6 kg T1 = 0.36 22° 24 kg What is the acceleration of the blocks? As- sume the 24 kg mass is descending with accel- erațion a. The moment of inertia of the disk is - M R? and the acceleration of gravity is 2 9.8 m/s?. Answer in units of m/s?.A roller coaster has a vertical loop of radius 25.0 m. If the roller coaster operates at a constant speed of 30.0 m/s while in the loop, what normal force does the seat provide for a 60 kg passenger at the bottom of the loop? O 2775 N 2748 N O 588 N O 1305 N ) 1572 N O 2160 NIn the figure, block 1 has mass m₁ - 470 g, block 2 has mass m₂ - 501 g, and the pulley is on a frictionless horizontal axle and has radius R-5.00 cm. When released from rest, block 2 falls 72.0 cm in 3.30 s without the cord slipping on the pulley. (a) What is the magnitude of the acceleration of the blocks? What are (b) tension T₂ (the tension force on the block 2) and (c) tension T₁ (the tension force on the block 1)? (d) What is the magnitude of the pulley's angular acceleration? (e) What is its rotational inertia? Caution: Try to avoid rounding off answers along the way to the solution. Use g -9.81 m/s². (a) Number (b) Number i (c) Number (d) Number i (e) Number i Units Units Units Units Units my 1112 <