The 2-1b block is released from rest at A slides down along the smooth cylindrical surface. The attached spring has a stiffness k = 3 lb/ft. (Figure 1)
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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.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?Find the smallest distance d for which the hook will remain at rest when acted on by the force P. Neglect the weight of the hook, and assume that the vertical wall is frictionless.
- The figure shows a junction of mass m = 10kg sliding on a rod in a vertical plane. Positioned 1 simpai is stationary and horizontal spring and tensioned Fp = 300N. If the spring constant is k = 1kN/m and the average frictional force between the rod and the junction is F = 30N. Calculate the speed at position 2. (Ans: 3.47m/s)Forming a shock absorber, two springs of equal length are nested together. If the maximum compression of the springs is 0.25 and the outer spring has a stiffness of Ka = 420 N/m, what stiffness is required of the inner spring Kb? The design of the spring system is such that if a mass of 2.5 kg is at rest, then dropped from a distance of 0.75 m above the springs, the spring system will catch and stop the mass.ANSWER AS SOON AS POSSIBLE 1) A box of mass m= 50kg which is sliding on a horizontal rough surface and momentarily comes to stop after compressing the spring by a distance of 120 mm. The spring has a spring constant k = 20kN/m and is initially in its equilibrium state. The initial speed of the box is 3.0m/s. a) What is the work done by the spring as the box is brought to a stop? b) Write an expression for the work done by friction during the stopping of the box (in terms of the coefficient of kinetic friction). c) Determine the coefficient of friction between the box and the surface.
- A 0.150 kg frame, when suspended from a coil spring, stretches the spring 0.0400 m. A 0.200 kg lump of putty is dropped from rest onto the frame from a height of 30.0 cm (Fig.). Find the maximum distance the frame moves downward from its initial equilibrium position.The arms of a Hartnell governor are of equal length. At the mid-position of the sleeve, theball arm is vertical and the radius at which the ball rotates is 10 cm when the equilibriumspeed is 400 RPM. On changing the speed by 1% the governor can overcome the frictionat this position. The friction force is assumed to have a constant value of 20 N at thesleeve. The sleeve moves ± 1.5 cm from the mean position. The minimum speed of thegovernor including friction is 450 rpm. The mass of the sleeve is 3.5 kg. Calculate themagnitude of rotating masses and initial compression of3 kg mass (green block) slides along the rod at a speed of 1.5m/s. Calculate the force of the impact at the other end when the green mass impacts the endcap. Length of rod is 300 mmMass of green block is 3 kgDiameter of rod is 15 mmVelocity of green block is 1.5 m/s
- The mass m = 5.0 kg resting on a frictionless horizontal table is connected to a horizontal spring with stiffness constant k = 170 N/m. The mass is pulled a distance to the right so that the spring is stretched a distance x0 = 1.3 mm initially, and then the mass is released from rest. e)? g)?Body U with mass 5m is stacked on the top body W withmass m, and released. The bodies are in contact along thefrictionless interface at 45 to the vertical. The body U isin contact with the frictionless vertical wall. Body W lieson the floor with coefficient of friction u. Relevantdimensions are shown in the figure. Express the results interms of given quantities: m, g, h and u. 1) Let u = 1/5. After separation from W, U continues to fall. Find velocity v1of U when it impacts the ground. 2) Let u = 1/5. After separation from U, W keeps sliding. How far will it get?Specifically, what is the final distance between the point D of W and the vertical wall?(The complete question is in the picture) Consider a 2.0 [kg] box that is attached to two identical springs that are in their relaxed state when the block is centered on the frictionless horizontal floor. The box is pressed to the left and then was released from rest as shown in the figure. If work done by the left spring is Wby spring = 25 [J], what is the speed of the boxas it passes the center x = 0? A. 8.2 [m/s]B. 7.1 [m/s]C. 3.5 [m/s]D. zero