QUESTION 2 a) The 20 kg crate as shown in Figure Q2 is subjected to a force with direction and magnitude P = 200 N. When s = 15 m, the crate is moving with a speed of 6 m/s. By using Principle of Work and Energy, determine its speed when s = 30 m. The coefficient of kinetic friction between the crate and the ground is μ = 0.25 Hk 20°
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- Calculate the horizontal force P required to push the 85-lb lawn mower at constant speed. The center of gravity of the mower is at G, and the coefficients of rolling resistance are 0.12 for the front wheels and 0.18 for the rear wheels.- H1. A wooden block of mass m is pushed over a floor in a straight line in the x direction with a constant velocity vo > 0. At time t = 0, when the block is at position x = 0, it is no longer pushed and the block experiences only a constant sliding friction force F in the negative x-direction until it comes to rest. (i) Write down the equation of motion of the block for t > 0. Calculate the time, t, at which the block comes to a stop and also find the distance, d, travelled by the block from the time when the pushing is stopped to the time when it comes to rest. (ii) Calculate the work done by the friction force from x = 0 to x = d, and then show that it is equal to the change in the kinetic energy of the block.For the delivery truck shown: The mass of the truck is 4000 kg. The horizontal distance from the rear tires to the center of mass, G, is L1 = 3 m The vertical distance from the ground to G is d = 3m The horizontal distance from the rear tires to the front tires is L2 = 5 m. d The delivery truck is traveling at 20 m/s when the brakes are applied. The truck skids to a stop, so that the friction force is applied to the tires by the road.* The coefficient dynamic friction is uk = 0.60 *If it did not skid, then the friction force would be between the brake pads and the brake disc, which would be above the road. Calculate the distance that the truck travels before it stops. Use Σ MA = Ia + d x m*a for the following: 'O' Calculate the left side of this equation: Σ MA G L1 → L2 Calculate the right side of this equation: I*α + d x m*a d+ x m*a is from r x m*a (cross product), so, determine the sign by considering the cross product. Set the left and right right sides equal to each other and…
- According to the figure where a mass M = z/100 kg on the frictionless floor is being pushed by horizontal m force F. A mass m = 3.00 kg is placed on top of M F M and the coefficient of static and kinetic friction between the surfaces are 0.500 and 0.300, respectively. Find the maximum value of F (in Newton) which allows mass m to move with mass M without slipping. (Use g = 9.80 m/s2)A brake test for an automobile is conducted. During the brake test, the automobile of mass 1800 kg (including driver) is travelling at the speed of 110 km/hr as it passes point A, and the car descends a hill of 1in 2 (Sine). The driver applies brakes so as to bring the car speed at B to 50 km/hr. The total frictional resistance to motion is 235 N. Using Work-Energy Method, Calculate the following required to bring the car to 50 km/hr from 110 km/hr in 210 m (From Point A to Point B) B Determine the Value of Total Energy about Point A TE= Determine the Value of Total Energy about Point B TEb= Determine the Value of Breaking Force needed Fb= N AA 4.6-kg block is pushed 2.3 m up a vertical wall with constant speed by a constant force of magnitude F applied at an angle of ? = 30° with the horizontal, as shown in the figure below. If the coefficient of kinetic friction between block and wall is 0.30, determine the following. A figure, drawn from a side view, shows the right side of a rectangular block pushed up against a rough, vertical wall. A force vector F acts on the block and is represented by a diagonal rrow pointing up and to the right, toward the center of the block's left side. The arrow forms an angle ? with the horizontal. (a) the work done by F J(b) the work done by the force of gravity J(c) the work done by the normal force between block and wall J(d) By how much does the gravitational potential energy increase during the block's motion? J
- 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?The crate with a mass of 80 kg is being towed by a chain which is directed at 20°. Find the crate acceleration in t = 2 s if the force P = 90t² N, normal force of 661.67 N and the coefficient of kinetic friction = 0.3. O a. 7.51 m/s² O b. 1.75 m/s² O c. 3.50 m/s² d. 2.44 m/s² 20° PQ1. 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.
- Q3.) A front wheel drive industrial truck is used to move a solid 1500 kg cylinder with a diameter of 1 meter up the 30° incline. The coefficients of static and kinetic friction between the cylinder and both surfaces are 0.4 and 0.2, respectively. Determine the required tractive force between the truck's front tires and the horizontal surface necessary to begin moving the cylinder up the incline. Assume negligible friction between the rear wheels and the horizontal surface. Consider two possible ways the cylinder might move up the incline. Note: the tractive force represents the friction force between the front wheels and the horizontal surface directed to the right. 30°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?5- (Work, Energy) The block M in Fig (a) weighs 500N and has a downward velocity of 5 m/s at the instant the force P=1 kN is applied. The coefficient of friction between the arm AB and the rotating body is 0,4. The rotating body weighs 800 N and has a centroidal radius of gyration of 50 cm. Find the distance the weight travels before coming to rest. 30cm | 60cm 30ст B W M S0cm ||