3. The two blocks shown start from rest. The horizontal plane and the pulley are frictionless, and the pulley is assumed to be of negligible mass. Determine the acceleration of each block and the tension in the cord. 140 kg
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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?1. A small object of mass m is located on the surface of the disk with radius R if the magnitude of the coefficient of static friction between the object and the disc is u and the disc rotates with a certain angular speed so that the object of mass m slides from the disc which is at a height h. Prove that the horizontal distance traveled by the object is x = JuR2h 2. A child of mass 80 kg sits on a spinning disc and begins to slide if the coefficient of friction is 0.5 and the angular velocity of the rotating disc is 10rad/s. calculate the maximum radius R provided that the child can still sit and remain on the spinning disc? Compare your answer with the manual solution and use Matlab A beautiful jumper with mass m jumps from a height of 10 m (a Calculate the initial velocity V at the time of the diver's collision with the water and the estimated time from the time of the dive to the collision. Assume that the buoyant force of the water is able to balance the magnitude of the…Motorized moving platform is lifting a car with some acceleration. If the combined weight of the lift platform and car is 2800kg, and the motorized lift weight is 200000kg, determine the maximum acceleration of the platform before tipping occurs. Weight of the platform a=2.1m, b = 4m, c = 4.2m, d = 3m FBD of the lift: Vertical lift platform. center of gravity (car) FBD of the car: a C Too center of gravity (lift)
- It is known that the mass of the 1,2,3 block is the same, which is 2 kg. The mass of block 4 is equal to the mass of block 5. The system is at rest. Neglect the masses of all ropes, Springs, and pulleys. If the magnitude of the acceleration due to gravity. g= 10 m/s², determine: a. Rope tension I b. Rope tension 3 c. The forces acting lincluding direction and magnitude) on blocks 2 and 3 as I unit ( two blocks are seen as 1 point object) d. Acceleration of block 4 when rope 3 is cut e. The force acting on block 3 if rope 2 is cutRequired information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Block Bof mass 36.25-kg rests as shown on the upper surface of a 22.05-kg wedge A. Assume that the system is released from rest and neglect the friction. В 20° 30° Determine the acceleration of B. (You must provide an answer before moving on to the next part.) The magnitude of acceleration at B is m/s26. A car weighing 5000-kg is on a banked curve as shown. The coefficient of friction between the road and the tire of the car is 0.50. It is rounding the curve of 200 m radius at maximum speed. Determine the maximum speed and the frictional force acting on the wheels. 3 D 11 2.5
- A rope is attached to a box. The box is placed on an inclined plane. The box has a mass of 70 kg. The box is moving downward while I am holding the rope. I am holding it with a force F equal to 150 N. Ignore friction. The angle 0 = 30° Draw a free body diagram. Determine the acceleration of the box. IWhen 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. wwwwmA 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
- 3. A block of mass m = 2.00 kg rests on the left edge of a block of mass M = 8.00 kg. The coefficient of kinetic friction between the two blocks is 0.300, and the surface on which the 8.00 %3D kg block rests is frictionless. A constant horizontal force of magnitude F = 10.0 N is applied to the 2.00-kg block, setting it in motion as shown in Figure. The distance L that the leading edge of the smaller block travels on the larger block is 3.00 m. L M m M (a) Draw a separate free-body diagram for each block. (b) In what time interval will the smaller block make it to the right side of the 8.00-kg block? as (Note: Both blocks are set into motion when the force is applied.) (c) How far does the 8.00-kg block move in the process?Block A (99-lb) is attached to block B (49-lb) through the interconnected pulleys C and D, as shown in the figure above. The coefficient kinetic friction between block A and the incline is 0.2. If block A has now a speed of 5(ft/s) down the incline, then while neglecting the mass of pulleys and ropes, Determine: 1. The Acceleration of block A 2. The distance (magnitude and direction) block B moves as block A slides to a stop.1. Draw a free body diagram for the block on the ramp that is attached to the string. There is no friction between the block and the ramp. The angle of the ramp is 35 degrees with respect to the horizontal, and the angle of the string is 45 degrees with respect to the horizontal. The block is at rest, and it has a mass of 10 kg. The acceleration due to gravity for this experiment is 9.8 m/s?. 450 35° 2. Decompose all of the forces into x and y forces 3. Sum the x forces and set them equal to what they should be set equal to. Sum the y forces and set THEM equal to what they should be set equal to.