m S Question 2) If the 50 kg crate starts from rest and achieves a velocity of v = 5 when it travels a distance of 5 m to the right. Assuming the coefficient of kinetic friction between the crate and the ground is μk = 0.3, (i) Draw the free-body diagram of the crate. (ii) Determine the magnitude of force P acting on the crate. 30° Р
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- The coefficient of rolling resistance between the 30-kg lawn roller and the ground is r=0.1. (a) Determine the force P required to pull the roller at a constant speed. (b) What force P would be needed to push the roller at a constant speed?ParvinbhaiThe slotted arm OA rotates about a fixed axis through O. At the instant under consideration, 0 = 37,0 = 44 deg/s, and 0 = 23 deg/s². Determine the magnited of the force F applied by arm OA and the magnitude of the force N applied by the sides of the slot to the 0.5-kg slider B. Neglect all friction, and let L = 0.84 m. The motion occurs in a vertical plane. Answers: F= N= i i -L m N B N 79⁰
- The slotted arm OA rotates about a fixed axis through O. At the instant under consideration, 0-28%, 0-55 deg/s, and 0 - 10 deg/s². Determine the magnited of the force F applied by arm OA and the magnitude of the force N applied by the sides of the slot to the 0.5-kg slider B. Neglect all friction, and let L -0.75 m. The motion occurs in a vertical plane. Answers: F- N- i i 6 -L m N N B 71°The 8-kg block is moving with an initial speed of 5 m/s. If the coefficient of kinetic friction between the block and plane is μk=0.25, determine the compression in the spring when the block momentarily stops.At the instant when θ = 44°, the horizontal guide is given a constant upward velocity v = 1.0 ms, For this instant calculate the force Nexerted by the fixed circular slot and the force P exerted by the horizontal slot on the 0.65-kg pin A. The width of the slots is slightly greater than the diameter of the pin, and friction is negligible.
- 4. The pipe has a mass of 600 kg and is being towed behind a truck. If the angle 0 = 30°, determine the acceleration of the truck and the tension in the cable. The coefficient of kinetic friction between the pipe and the ground is Hk = 0.1. B 45° Ge 0.4 mThe system is released from rest with the spring initially stretched 2 in. Calculate the velocity of the 100-lb cylinder after it has dropped 6 in. Also determine the maximum drop distance of the cylinder. Neglect the mass and friction of the pulleys 100 lbA 15-kg block moves along an inclined plane from the position “A” to position "B", which is 1 m down the incline. The spring to which the block is attached is initially stretched by 0.5 m. The coefficient of kinetic friction between the block and the surface is 0.2. A constant horizontal force of 25 N is applied to the block as shown. If the block starts from rest at position “A” and the normal force on the block is FN = 102.72 N, estimate the velocity of the block when it reaches position "B", which is 1 m down the incline. Position B Position A L = 1 m F = 25 N k, = 50 N/m H₂=0.2
- Q2: The 0.5-kg cylinder A is released from rest from the position shown and drops the distance h; = 0.8 m. It then collides with the 0.4-kg block B; the coeffi- cient of restitution is e = 0.8. Determine the maxi- mum downward displacement ks of block B. Negleet all friction and assume that block B is ini- tially held in place by a hidden mechanism until the collision begins. The two springs of modulus % = 400 N/m are initially unstretched, and the dis- tanced = 1.0m.The two boxcars A and B have a weight of 25 U00 Ib and 40 000 lb. respectively They are freely coasting down the incline when the brakes are applied to all the wheels of car A. The coefficient of kinetic friction between the wheels of A and the tracks is u = 0.5. The wheels of car B are free to roll. Neglect their mass in the calculation. Suggestion: Solve the problem by representing single resultant normal forces acting on A and 12 rocnortivolv (Finure 1V Figure 1 of 1>5. | Block A has a mass of 60 kg and rests on block B, which has a mass of 30 kg. If the coefficients of static and kinetic friction are indicated in the figure, determine the largest horizontal force P which can be applied to block B so that block A does not slip on block B while block B slides. H= 0.30- Hx = 0,35 B.