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Two transmission belts pass over a double-sheaved pulley that is attached to an axle supported by bearings at A and D. The radius of the inner sheave is 125 mm and the radius of the outer sheave is 250 mm. Knowing that when the system is at rest, the tension is 90 N in both portions of belt B and 150 N in both portions of belt C,determine the reactions at A and D. Assume that the bearing at D does not exert any axial thrust.
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- The two massless pulleys are connected by a massless inextensible rope. The system is subject to the weights W1 = m,g and W2 = m,g. Determine the force in the rope, the acceleration of the mass m1 and its velocity in dependence of the covered distance.A block and sphere are connected by a cord that passes over a pulley as shown. Neglect friction and assume the cord is massless. Take m1 = 2.00 kg, m2 = 6.40 kg, and θ = 49.5°. If the incline under m2 is rough, what is the minimum value of the coefficient of static friction μs for which the system will not move?Computation. Three objects are connected as in the figure with mд-7 kg, mB=6.43 kg, and mc-11.4 kg. The strings and frictionless pulleys have negligible masses, and the coefficients of friction between the block and the table are s-0.67 and u-0.151. If the system is released from rest, find the magnitude of its acceleration. [Hint: As part of your solution, check to see if block B experiences static or kinetic friction.] MA a = JACOPERTE mc E OL MB _m/s² Record your numerical answer below, assuming three significant figures. Ca O @ ✰ ✰ 0 A D 10:14 PM 10/19/2022 *** 2
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- Problem 1: A meter stick has mass m = .2 kg (distributed uniformly along its length) and a length of (of course) 1 meter. The stick is placed simultaneously on two weight scales: one at the 20 cm mark (with 0 cm at the far left end of the stick), the other at the 70 cm mark, with no other supports or weights. Remember that a weight scale supplies an upward force, equal to the reading on the scale. Calculate the reading on both scales. Call the reading on the left scale (at 20 cm) FL, and the reading on the right scale (at 70 cm) FR. 20 cm 70 cmThe 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/sThere is a block loaded with two 0.5 kg masses and is pulled at constant velocity across the table but with an applied force that is parallel to the surface of the table. theta = 0 because the force is of the same diraction as the displacement. What are the magnitudes of the following forces: Fg FN Ff
- A block of mass mA=20kg on an inclined plane and a bucket of mass mbucket=16kg are attached to the ends of a massless string passing through a massless pulley as shown in the figure below. The inclined plane makes an angle of θ=46o with the horizontal and the coefficients of kinetic and static friction are μk=0.21 and μs=0.58. The system is initially at rest and a student starts to fill the bucket with balls, each of whose mass is 100 grams, one at a time until the system starts to move. Determine the number of balls the student placed in the bucket. Take g=9.80m/s2 and please note that the number balls must be an integer!= 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 = 4.0 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? (a) Number (b) Number i 144 Units Units -Lg-A person is pushing a fully loaded 27.50 kg wheelbarrow at constant velocity along a plank that makes an angle a = 37.0° with the horizontal. The load is distributed such that the center of mass of the wheelbarrow is exactly halfway along its length L. What is the magnitude of the total force F, the person must apply so that the wheelbarrow is parallel to that plank? You may neglect the radius of the wheel in your analysis. The gravitational acceleration is g = 9.81 m/s². F =