The figure shows a container of mass m1 = 4.9 kg connected to a block of mass m2 by a cord looped around a frictionless pulley. The cord and pulley have negligible mass. When the container is released from rest, it accelerates at 0.63 m/s² across the horizontal frictionless surface. What are (a) the tension in the cord and (b) mass m2?
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- The coefficient of friction between mass m 1 and the surface is 0.15. The pulley is a disk and has a radius of 0.100 m and a mass of 0.25 kg. m 1 = 10.0 kg, m 2 = 20.0 kg.If the system is released from rest, find the final speed of each block when the hanging mass falls 2.0 m. ( I(disk)= 1/2 m R 2 )A homogenous ladder 10m long and weighing 3.5 kg/m leans against a vertical wall. The angle between it and the floor is 60 degrees. The coefficient of friction of the ladder against the ground as well as the wall is 0.35. 1. How far up the ladder measured from the ground can a 65-kg man climb before it starts to slide? a. 4.5 m b. 6.3 m c. 5.4 m d. 7.3 m 2. Compute the reaction at the wall when it starts to slide, in N. a. 324.07 b. 390.15 c. 410.32 d. 465.67 3. Compute the reaction between the ground and the ladder when it starts to slide, in N. a. 780.06 b. 925.92 c. 598.18 d. 825.34A block of mass m1 = 30.0 kg (starting from the rest) is going down an inclined plane at angle θ = 30° is connected by a massless cord that is wrapped around a uniform disk of mass M = 1.50 kg and radius R = 10.0 cm to a second block of mass m2 = 5.00 kg hanging vertically. The disk can rotate about a fixed horizontal axis through its center; the cord cannot slip on the disk. The coefficient of kinetic friction between m1 and the surface is μk = 0.150. Find (a) the magnitude of the acceleration for the blocks, (b) the tension T1 in the cord at the left and (c) the tension T2 in the cord at the right. After m1 moves 2 m, (d) What is the speed of m2? (e) How long will it take for m1 to travel 2.00 m? (f) What is the work done by the net force on m1? (h) What is the work done by the net force on m2? Section D, E, F, H
- A block of mass m1 = 30.0 kg (starting from the rest) is going down an inclined plane at angle θ = 30° is connected by a massless cord that is wrapped around a uniform disk of mass M = 1.50 kg and radius R = 10.0 cm to a second block of mass m2 = 5.00 kg hanging vertically. The disk can rotate about a fixed horizontal axis through its center; the cord cannot slip on the disk. The coefficient of kinetic friction between m1 and the surface is μk = 0.150. Find (a) the magnitude of the acceleration for the blocks, (b) the tension T1 in the cord at the left and (c) the tension T2 in the cord at the right. After m1 moves 2 m, (d) What is the speed of m2? (e) How long will it take for m1 to travel 2.00 m? (f) What is the work done by the net force on m1? (h) What is the work done by the net force on m2?Here we have successfully built up a problem that uses one topic from each of the four quarters of material we have covered. A block with mass m1 = 3.00 kg sits on a horizontal table and is attached to a rope. The rope then passes over a MASSIVE pulley and is attached to a block of mass m2 = 2.00 kg, which hangs vertically (see picture). The coefficient of kinetic friction of the interface between the table and m1 is 0.1. You may assume the pulley section is a disk with a mass of 2.00 kg. We will keep the pulley frictionless for brevity. This time, however, m1 is a piston attached to an isolated volume of air that is heated in such a way that the air is always allowed to expand ISOBARICALLY. The pressure of air inside AND outside the chamber is 1 atm. The initial volume of air is 0.100 m^3 . The cross-sectional area of the m1 piston on either side perpendicular to its motion is 0.0100 meters. a) Find the acceleration of the blocks using Newton’s Laws (no radius needed)A Ferris wheel has a diameter of 10.0m and makes one revolution in 8.00 seconds. A girl weighing 321 N is sitting on one of the benches attached at the rim of the wheel. What is the force exerted on her by the bench as she passes through the lowest point of her motion?
- A man (weighing 915 N) stands on a long railroad flatcar (weighing 2415 N) as it rolls at 18.2 m/s in the positive direction of an x axis, with negligible friction.Then the man runs along the flatcar in the negative x direction at 4.00 m/s relative to the flatcar. What is the resulting increase in the speed of the flatcar?In the figure below the two blocks are connected by a string of negligible mass passing over a frictionless pulley. m1 = 10.0 kg and m2 = 6.40 kg and the angle of the incline is ? = 36.0°. Assume that the incline is smooth. (Assume the +x direction is down the incline of the plane.)Consider the two force vectors D = (2.37 N)i + (-5.01 N)j + (2.89 N)k and F = (3.45 N)i + (2.01 N)j + ak. What should be the value of a, in units of N, so the two forces are perpendicular?
- A three-legged structure is shown below. It is attached to the ground at points B = (3.72 , 0, 0) and C = (−3.72, 0, 0) and connected to the ceiling at point A = (−4.50 , 4.03 , 5.00). The three legs connect at point D = (0, 3.15, 4.00) where two forces, F and P, act. Force F is given by F=10.0 i−12.5 j+25.2 k N; P has magnitude 50.0 N and direction angles α=110.0∘ β=29.5∘, and γ=69.3∘ for the x, y, and z axes, respectively. (This is if you need it) Find the Cartesian components of force P acting in the x, y, and z directions given P=50.0 N, α=110.0∘, β= 29.5∘, and γ=69.3∘. Recall that α is the angle between the vector and the x axis, β is the angle between the vector and the y axis, and γ is the angle between the vector and the z axis. the first part is equal -17.1 i N, 43.5 j N and 17.7 k N Question i need is to find the angle delta between F and P (The first part has already been solved but might be neccessary)a nonuniform bar is suspended at rest in a horizontal position by two massless cords. One cord makes the angle u=36.9° with the vertical; the other makes the angle f =53.1° with the vertical. If the length L of the bar is 6.10 m, compute the distance x from the left end of the bar to its center of mass.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 = 5.0 m. The rod is held horizontally on the fulcrum and then released. What are the magnitudes of the initial accelerations of particle 2?