Problem 3: Calculate the horizontal velocity v with which the 48-lb carriage must strike the spring in order to compress it a maximum of 4 in. The spring is known as a "hardening" spring, since its stiffness increase with deflection as shown in the accompanying graph. F,lb 3x2 48 lb 60x * 4 x, in.
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- Draw the FBD for the bar described in Prob. 5.1 if the bar is homogeneous of mass 50 kg. Count the unknowns.The block of weight W is pulled by the force P inclined at the angle to the horizontal. Find the smallest force P and the corresponding angle that would cause impending sliding of the block. The angle of static friction between the block and the ground is s.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 coeffient of static friction between the uniform bar AB of weight W and the ground is 0.45. Find the smallest angle and the corresponding force P that would initiate simultaneous tipping and sliding of the bar.The force P applied to the brake handle enables the band brake to reduce the angular speed of a rotating drum. If the tensile strength of the band is 3800 lb, find the maximum safe value of P and the corresponding braking torque acting on the drum. Assume that the drum is rotating clockwise.consider the mass and pulley system in the attached file. mass m1 = 29 kg and mass m2 = 12kg. the angle of the inclined plane is given and the coefficient of kinetic friction between mass m2 and the inclined plane is uk = 0.12. assume the pulleys are massless and frictionless when mass m2 moves a distance 4.94 m up the ramp, how far downward does mass m1 move? d= ?
- A 1500 kg load is lifted by a hoist using a Ø1.5m drum. The drum is driven by an electric motor through a gearbox with a reduction ratio-25, At a certain instant, 175 m of unwrapped rope is lifling the load and 7.4 m of rope is wrapped on the drum. Drum: diameter ØI5 m IDRUM – 322 kg-m² (includes the inertia effects of the gearbox only) Motor, speed IMOTOR 1200 rpm 1.24 kg-m2 Rope: 3 kel a) Show that the equivalent moment of inertia of the motor and drumgearbox is 2695 kg-m the drum byArthis instant, determine the motor toreue requinedifthe load is accelerating q t the load s accelerating upward at 3.5 s-A small particle with mass m is tied to a light rod (assume no mass) with length l.The rod is tied at the other end with a ball and socket joint with no friction. The rod is held in place in a horizontal position with a spring. The spring has a stiffness coefficient of k. Parallel to the spring is a dashpot. The rod is then pulled down below the equilibrium point, such that the rod creates an angle theta with the equilibrium point. The rod is held in this place before being released. Decide the damping coefficient c such that the oscillation will be a critically damped oscillationThe 18-lb box shown is attached to a spring that has a k=2 lb/in and an unstretched length of 14 inches. As shown the spring is stretched to a length of 20 inches. Solve for the unknown force P needed to keep the block in equilibrium. What is the normal force on the block? Assume the surface is smooth. (Note, "smooth" tells you friction is small enough to be neglected.) 20" TTTTTT P
- 5. Blocks A and B weigh 250N and150N, respectively. Using the coefficients of static friction indicated as in Figure S6, i. Draw the free body diagram for the pulley C, pulley D, block A and block B State the equation of the tensions T, and Tc in the terms of W for both of the pulley system. i. (Assume that slip impends between the pulley and the block E. W is the weight of the block E) iii. Determine the greatest weight W of the block E without causing motion 0.45 m He =0.2 A 0.6m 4,= 0.3 HD =0.3 H = 0.5 5 12The picture shows the launch state of a missile sliding along the guide rail under the action of thrust P. It is known that the thrust P=450800N, the weight of the missile is G=20000N, the front leg A is a slider, the sliding friction coefficient is considered, and the rear leg B is a roller, ignoring the rolling friction. The launch angle is θ, try to use the above three expressions to calculate the load factorpls answer fast thank you A system of blocks is shown in the figure. Assume the pulley is frictionless *show FBD 1. Which of the following most nearly gives the least value of P required to prevent the system of blocks from sliding to the left? 2. Which of the following most nearly gives the least value of P required to cause the system of blocks to have impending motion to the right? 3. Which of the following most nearly gives the reaction at the pulley if the system of blocks is to have an impending motion to the right?