14-kg block shown in Fig. rests on a smooth plane. It is connected by a d weightless, frictionless pulleys to a support. The 60-kg mass is attachec n is released from rest, in what distance will the block on the plane attain:
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- The lower block of mass m2 = 3.2 kg is pulled on by a rope with a tension force of 28 N. The upper block has mass m1 = 1.8 kg. The coefficient of kinetic friction between the lower block and the surface is 0.32. The coefficient of kinetic friction between the lower block and the upper block is also 0.32. What is the acceleration of the 3.2 kg block?Q3. In the position shown in Figure, the system is in the rest. Cylinder B is considered solid and moves in frictionless bearings. The spring is originally unstretched and has a modulus of 10000 N/m. Assuming that the coefficient of friction is 0.25, what will be the speed V of block A after dropping 20 cm. k=10000 N/m mc= 40 kg A=0.25 20 cm mB= 40 ka לדלק RB= 20 cm mA= 100 kg5) A block weighing 50 lb is shown on an inclined surface. The block is released from rest at the po- sition shown. The spring has a spring constant of k = 10 lb/in., and the coefficient of friction be- tween the block and the incline is 0.3. What is the maximum compression of the spring? 6) For the system in Question 5, what is the velocity of the block the moment it leaves the spring? 50 lb 10' 30° K www. Page 1 of 2
- A spherical bowling ball with mass m = 4.6 kg and radius R = 0.105 m is thrown down the lane with an initial speed of v = 9.5 m/s. The coefficient of static friction between the ball and the ground is 0.35 and the coefficient for kinetic friction is μ = 0.3. Once the ball begins to roll without slipping it moves with a constant velocity down the lane. 1) What is the magnitude of the angular acceleration of the bowling ball as it slides down the lane? 2) What is magnitude of the linear acceleration of the bowling ball as it slides down the lane? 3) How long does it take the bowling ball to begin rolling without slipping? 4) Once it begins to roll without slipping, what is the force of friction on the ball?Q1. m-1 kg m,=4 kg The mechanism set up with m,, m, and weightless pulleys is as shown in the figure. Then, the masses are released. Static and kinetic friction between the inclined plane and m, are 0.6 and 0.5 respectively. What are the accelerations of m, and m,? (g = 10 m / s². Frictions and mass of the pulley are ignored.) Q2. 300 m/s .*........ yatay 100 m/s 320 m x=? A plane is flying horizontally at an altitude of 320 m with 300 m/s speed. It launches its bomb with 100 m/s speed relative to the plane as shown. How many meters away from the castle should the plane launch its bomb to hit the castle. (g=10 m/s², sin370=0.6; cos37°=0.8) Q3. 2 kg The object in the frictionless cone in the figure is making a uniform circular motion. Calculate, a) the normal force that the cone exerts on the object, b) centripetal force applied to the body, c) Find the speed of the object.Harlgw Cylinder エ:Mg The 65 kg man at right is trapped inside a section of large pipe. If that's not bad enough, the pipe begins to roll, from rest, down a 35 m long, 180 incline! The pipe has a mass of 180 kg and a diameter of 1.2 m. (Assume the man's presence inside the pipe has a negligible effect on the pipe 's rotational inertia.) The coefficient of friction between the pipe and the ground is (0.5, 0.4). -RO Motion Information Free-Body Diagram Event 1: Event 2: 「り t = 2=35m 02 = V2 = 02 = SF a = a2 = (moM) 9 aj = a2 = Mathematical Analysis34 at g sino 4:4F - (mt M) gcoS 2: (m + M)g sino - 'F = (mr M) a zて-Ix two eluntions %3D こ :zC =I« : 'FR = MR*< = MR (4) F = Ma to Sdve for FFL IV-95 Chele tun max
- 1. A cart is being pulled by a motor. The cart has a mass of m = 200 kg. The motor applies a horizontal force of F = 800 N to the center of the right side of the cart. The cart is 1m tall, the total length is 1.5m, the wheels are 1m apart from each other, and the center of mass G is 0.4 m above the floor and on the horizontal center. Ignore friction. If there is no rotational movement of the cart, determine the following: 1. The cart's acceleration 2. The reaction (normal) force at the front pair of wheels. 3. The reaction (normal) force at the rear pair of wheels. F 77 TI THelp me pleaseWhen Crates A and B of mass ma = 38 kg and mB = 74 kg are released from rest, Crate A moves to the right = 0.2 ). The force P = 18 Newtons is always acting on Crate B. The linear spring on a rough surface (u: has a stiffness of k = 480 N and is initially stretched 0.5 meters before the system is released from rest. m Neglect the mass of the pulleys and cables and neglect friction in the pulley bearings. Determine the work done by the external force P (in Joules) when Crate A has moved a distance of 0.5 meters to the right. wwwwm
- Question 6 The uniform solid cylinder shown in the figure is released from rest on the 0 = 60 degree incline and slips as it rolls down the incline. The cylinder has mass m = 10 kg and radius r = 0.45 m. The coefficient of friction between the cylinder and the incline is µ = 0.15. Take the acceleration due to gravity to be g = 9.81 m/s². link to image 0 (c) Calculate the following: (a) the normal reaction N between the cylinder and the incline; g (b) the linear acceleration a of the centre of mass of the cylinder; the angular acceleration a of the cylinder; X A Moving to another question will save this response. (d) the minimum coefficient of friction required to prevent the cylinder slipping down the incline. 截图和草 截图已保存 选择此处标A slender bar with a length of 2 ft is pin-connected with a roller positioned on a smooth horizontal surface. The bar is at rest initially, and a horizontal force F is applied to the roller. If F = 13 lb and the weight of the bar is 10 lb, calculate the magnitude of the acceleration of the roller at that instant by neglecting the mass and the size d of the roller. Present your answer in ft/sec² using 3 significant figures. FOR COMARCA 2 ft FBlock 2 of mass 1.30 kg is stacked on top of another Block 1 of mass 8.60 kg on an incline plane of angle 38° with respect to the horizontal. The two blocks are linked by a rope which passes over a pulley at the top of the incline, as shown in the diagram. The coefficient of kinetic friction between all surfaces is 0.45. (g = 9.8m/s2,cos 38° = 0.788, sin 38° = 0.616) a) Draw the free body diagrams of each block, b) Write Newton's second law components for each block, c) What is the acceleration of each block? d) If the coefficient of static friction between all surfaces is 0.3 find the angle 0 the plane must be inclined for sliding to commence. NOTE: Solutions involving the energy will not be accepted. 38.0