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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- 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.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.A spring with squared and ground ends has 16 active coils diameter of 6 mm and pitch of 10 mm . If spring rate is 85 KN/m , determine the solid force?
- A weight of 400 N is dropped through a height of 600 mm onto a closed coil compression spring which instantaneously compresses by 200 mm under the impact. The diameter. of spring wire is 25 mn and mean diameter of coil is 200 mm. Find maximum instantaneous stress produced by impact, and number of coil in spring take G=30 kN/mm¹.In a porter governor the mass of the central load is 18 kgand the mass of each ball is 2kg. the top arms (250+X) mm while the bottom arms are (300+X) mm long. The friction of the sleeve is 20 N. If the top arms make 45 deg with the axis of rotation in the equilibrium position, find the range of the speed of the governor in that position Note X is the student roll no. for example if the student roll no is A20 then X=20A cube with mass of m=80N is on the inclined plane with angle of phi=20 degrees. coeficient of static friction /mu_s = 0.25 coeficient of dynamic friction /mu_k = 0.15 Determine: what is the smallest size of the force F parallel to the inclined plane, which prevents the cube in the slide? what is the smallest size of the force F, which the cube starts to move along the inclined plane up? At what value of the force F starts the cube to rise at a constant speed?
- A ladder of length 2L and mass M is positioned on level ground leaning against a wall such that the angle between the ladder and the horizontal is @. The coefficient of static friction between the ladder and the wall and between the ladder and the ground is jistatic = 0.66. The centre of mass of the ladder is halfway along it. For the ladder to be in mechanical equilibrium: Consider torques about the centre of the ladder. In which direction (into or out of the page) does the torque due to each of the 5 forces force act?Write down an equation for the sum of the torques about the centre or mass of the ladder and then use your equation for the torques to derive an expression for tan o in terms of the magnitudes of the forces actingThe figure shows a part of a machine used to crush recycled cans. Link ABC is attached to the ground at pin A and link BD is attached to the piston D using also a pin connection. When α=45°, θ=55°, and β=15°, the machine is about to start moving, i.e. impending motion. If the coefficient of static friction and kinetic friction between the piston D and the wall are μs=0.25 and μk=0.2 respectively, find the magnitude of force applied to the cans by the piston for P=200 kN.Questions - 6 Derive the equivalent spring constant for the case if attached in series . Prove - keq = ( k1k2/k1 + k2 )