Determine maximum spring compression
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- The spring attached to the homogenous bar of weight W is undeformed when =0. Determine the smallest spring stiffness k for which the =0 equilibrium position will be stable. Use W = 10 lb, a = 24 in., and b = 6 in. Assume that the spring remains horizontal, which is a valid approximation if is small.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.In the mechanism below, neglect the inertias of all the links and determine the cable tension force in Newton for when M=677 kg? B E F C D 4 T cable/kablo M y cable/kablo 9.81 m/s? A х 0.8 m Hint/İpucu: Pin = Pout = (Mg )w4 = (T ..)w2 3.
- 1. Assuming the velocity of B=0.7 m/s after dropping 480 mm. Complete the following: a. Determine the spring constant such that all conditions mentioned above are met b. Using you value from part a, determine distacne B will drop if lowered slowly Notes: System is initially at rest Spring free length Cylinder mass - 25 kg Cylinder radius = 400 mm Ic cylinder 1.2 kg.m² 2 300 mm A Radius of pulley = 100 mm Ic value for pulley 0.5 kg.m² B10 kg Beconsider 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= ?h a = 0.9 NA NB On Determine normal forces at A and B. = 3049.74 dA 1855.26 .G You are forced to pull a group of kindergarteners in a cart. You apply a horizontal force of F = 450 N. The cart has a total mass of m = 500 kg with a center of mass at G. Assume the wheels have negligible mass, negligible size (r) and no rolling resistance. d4 = 0.73 m and dg = 1.2 m. You apply the horizontal force at a height y = 0.4 m from the ground. The center of gravity G is located at a height h = 1.2 m from the ground. Determine acceleration of the cart m XN dв X N B y UBC Engineering
- 2. A block of mass m1 = 2.05 kg and a block of mass m2 = 6.40 kg are connected by a massless string over a pulley in the shape of a solid disk having radius R = 0.250 m and mass M = 10.0 kg.The fixed, wedge-shaped ramp makes an angle of ? = 30.0°as shown in the figure. The coefficient of kinetic friction is 0.360 for both blocks. a) Draw force diagrams of both blocks and of the pulley. b) Determine the acceleration of the two blocks. (Enter the magnitude of the acceleration.) c) Determine the tensions in the string on both sides of the pulley.A mass m₁ = 2.0 kg is suspended over a pulley of moment of inertia, I₁ = 0.010 kg-m², and a radius, R₁ = 0.10 m, and is attached with a massless rope to a mass on a horizontal table, m₁ = 2.0 kg. This mass is itself attached to another suspended mass m₂ = 4.0 kg again with a massless rope over a pulley of moment of inertia, I₂ = 0.040 kg-m², and a radius, R₂ = 0.20 m. (a) Find the velocity of each mass when my falls a distance of 1.00 m (the masses start at rest). (b) There is now friction on the horizontal table, µ = 0.74. Again find the velocity of each mass when my falls a distance of 1.00 m (the masses still start at rest).Mass of both blocks = 14kg. The friction coefficient for this bar is µ= 0.4. The spring constant k= 60 N/m. The spring is compressed 0.1 m and then released. d a Find: www 1. The magnitude of block B's acceleration 2. The magnitude of tension of the rope A B a=?
- 3) Figure (3) shows the amangement of a set of pulleys, a spring, and a smooth contact position that are connected through a flexible line having a total length of 12 meters, which sustains a box with mass of 15 kg. If the system is known to be in equilibrium, solve for a) The angle a b) The force T. 3.0 3.0 m 4.0 m Figure (3)A weight Wis dropped from a heighth on the mid-span at C of a simply-supported beam as shown, where the spring always remains vertical and is at its natural length when the beam is horizontal. For W-90 lb and the stiffness of the spring k-313 lb/in, determine the static elongation of the spring (apring). Le., h-0. [in] W 40" h 1"I4) Block B weighing 500 N rests on block A which weighs 300 N. The dynamic coefficient of friction be- tween contact surfaces is 0.4. At wall C there are rollers whose friction we can neglect. What is the ac- celeration of body A when a force F of 5000 N is ap- plied? F De gem B A 20°