The string is massless. The pulley turns on frictionless bearings. Consider the pulley as a uniform disk of mass 2.50 kg and radius 5.00 cm.T he mass m1= 4.00 kg, and the mass m2= 5.00 kg. The system is released from rest. Find (a) the acceleration of m1, and (b) the tensions, T1& T2,in the horizontal and vertical portions of the string. The horizontal surface below m1is smooth.
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The string is massless. The pulley turns on frictionless bearings. Consider the pulley as a uniform disk of mass 2.50 kg and radius 5.00 cm.T he mass m1= 4.00 kg, and the mass m2= 5.00 kg. The system is released from rest. Find (a) the acceleration of m1, and (b) the tensions, T1& T2,in the horizontal and vertical portions of the string. The horizontal surface below m1is smooth.
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- A huge vertical pump configuration, comprised of one solid disc A and two solid rotors B, is started from rest with a motor drive that delivers torque as a function of time. Determine (a) the total mass moment of inertia in kg-m^2, (b) the angular velocity in RPM 45 seconds after starting from rest and (c) the number of revolutions in that same time period. The mass and radius of disk A are 29800 kg and 2.8 m and same for one rotor B are 1100 kg and 0.3 m. The torque vs time function is: T = 8.4E4 t ^(0.35) N-m. B 29800 1100 2.8 0.3 8.4 0.35 45The moment of inertia for a set of objects of mass m; rotating about a common axis is defined as 1 = Σm₁r? 2 where r, is the distance of the ith object to the axis of rotation. If there are many particles that make up a larger object then this sum transforms into an integral, 4-fff or a. I = dV, V where p is the mass density and V the volume of the object. In this exercise we will explore moment of inertia by rolling two objects down an incline plane in the Experimental Math Lab Space.ans b
- In the figure below, block 2 of mass m2 = 3.75 kg rests on a frictionless surface. It is attached to mass 1 (m1 = 2.50 kg) by a massless, stretchless string that passes over a frictionless pulley of radius R = 15.0 cm. When released from rest, block 2 moves to the right with an acceleration of 3.80 m/s2. What is the mass of the pulley? must draw FBDsOn a reel-to-reel tape deck, the tape is pulled past the playback head at a constant linear speed of 0.381 m/s. (a) Using the data in part a of the figure, find the angular speed of the take-up reel. (b) After 2.36 x 103 s, the take-up reel is almost full, as part b of the drawing indicates. Find the average angular acceleration of the reel with the appropriate sign, where a positive value mean the reel is speeding up. 0.0437m v = 0.381 m/s (a) 0.117 m v - 0.381 m/s (b) (a) Number i Units (b) Number i Units n roarchIn 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
- A child's top is held in place upright on a frictionless surface. The axle has a radius of r 3.21 mm. Two strings are wrapped around the axle, and the top is set spinning by T T applying T = 2.40 N of constant tension to each string. If it takes 0.590 s for the string to unwind, how much angular 2r momentum L does the top acquire? Assume that the strings do not slip as the tension is applied. R SP 9.15 x10¬3 kg-m² L = S Point P is located on the outer surface of the top, a distance h = 35.0 mm above the ground. The angle that the outer surface of the top makes with the rotation axis of the top is 0 = 24.0°. If the final tangential speed v, of point P is 1.45 m/s, what is the top's moment of inertia I? T 2r T 2.42 x10-4 kg-m? = Incorrect0.1/1E: 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 T in the cord at the left and (c) the tension T2 in the cord at the right. %3D %3! R. (a) Number i Units m/s^2 (b) Number i Units (c) Number Units eTextbook and Media 898 MAY 1 PDF 8 tv .. DD 80 000 000 888 F9 F10 F11 F6 F7 FB F2 F3 F4 F5 @ 23 2$ & 2 3 4 7 8 9A can full of soda (total mass is about 375 g, where 355 g comes from the liquid and 20 g from the aluminum can, radius is about 33 mm) is released on a slope. The slope has an angle of 30° of inclination and a length of 40 cm. Due to friction, the can roll over the slope without slipping. Determine the time it takes for the can to reach the bottom of the slope.Repeat the calculation for the empty can (m = 20 g and R = 33 mm). Note: In both cases, ignore the contribution from the top and bottom metallicparts of the can (disks) to the moment of inertia.
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