5-2 Repeat the calculations in Exercise 5-1 using impulsive force consider- ations. Assume that the duration of impact is 10¬2sec and the area of impact is 4 cm². Repeat the calculation with area of impact = 1 cm². %3D
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- In a governor of the Hartnell type the arms of the bell-crank leversare equal in length, and those carrying the operating masses arevertical when the governor is rotating at its mean speed of 775rev/min, with the masses moving in a circle of 175 mm diameter -The usual central controlling spring is replaced by two paralleltension springs direetly connecting the operating masses. Find(a) the magnitude of each operating mass if a force of 90 N isrequired at the sleeve to maintain it in the mean speed positionwhen the specd is increased from 775 to 800 rev/m in(b) the stiffness, or rate, of each spring if the ratio of sleevemovement to increase of speed is 1 mm to 10 revImin when inthe mean speed position.3 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/sA 3.00 kg low friction cart sits on a horizontal surface. At each end, there is a spring of force constant 100 N/m attached to a firm support. The cart starts at rest at the equilibrium position. A quick blow of a hammer delivers an impulse of 0.50 N-s to the cart. (a)How long will it take for the cart to return to the equilibrium position? (b) How much energy is delivered to the cart by the impulse of the hammer? (c) How far will the cart travel before returning to the equilibrium position?
- Three friends ride a Ferris wheel with a diameter of 76m. Their combined mass with each car of the Ferris wheel is 389kg. When their car is at position A, the steel support applies 503N force at the car at an angle of 40degrees with the horizontal. What is the speed of the cars?A hammer head H having a weight of 0.26 lb is moving downwards at 40 ft/s when it strikes the head of a nail of negligible mass and drives it into a block of wood as shown. Find the impulse on the nail if it is assumed that the grip at A is loose, the handle has a negligible mass, and the hammer stays in contact with the nail while it comes to rest. [Show work fast , Don't copy]10.0-kg chimpanzee in severe danger, so he swings to the rescue. He adjusts his strong, but very light, vine so that he will first come to rest 5.0 s after beginning his swing, at which time his vine makes a 10.0° angle with the vertical. (a) How long is Mowgli’s vine, assuming that he swings at the bottom end of it? (b) Just as he passes through the lowest point in his swing, Mowgli nabs the chimp from the ground and sweeps him out of the jaws of danger. If Mowgli’s mass is 40.0 kg, determine his speed just before he grabs the chimpanzee.
- A block with mass of ?1=2 ?? is placed on top of a block with a mass?2=4 ??. A horizontal force of F=60 N is applied to the block ?2, and the block ?1 is tied to the wall. The coefficient of kinetic friction between all surfaces is 0.400. (a) Draw a free-body diagram for each block and identify the action–reaction forces between the blocks. (b)Determine the tension in the string and the magnitude of the acceleration of the block ?2.Assume that there are no frictional forces between the pulleys and the strings, and the strings are mass-less. The frictional coefficient between the1 kg and 2 kg is 0.05, the frictional coefficient between the 2 kg and 5 kg is 0.1, and the frictional coefficient between the 5 kg and the table is 0.2. (a) Draw free-body diagrams for each mass? (b) Calculate the magnitudes of normal forces and frictional forces?(c) If we release 4 kg and 3 kg from rest what are the accelerations of each mass? (System has two different accelerations)(d) Calculate the tensions in each string?In a porter governor the mass of the central load is 18 kgand the mass of each ball is 2kg. the top arms (254) mm while the bottom arms are (304) 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
- 4-The 20-g bullet is fired horizontally at 1400 m/s into the 350-g block resting on a smooth surface. If the bullet becomes embedded in the block, what is the velocity of the block immediately after impactA load of W (kN) with corners ABCD standing still in the truck bed wants to be transported.Since it is known that the load does not slide during the movement, the maximum acceleration that the truck can reach without tipping the load and Calculate the coefficient of friction between the load and the truck bed. (C represents the center of gravity of the load). W=6kN b=0.3m d=0.9m e=1.7mBy using a forked rod, a smooth cylinder C having a mass of 0.5 kg is forced to move along the vertical slotted path (r = 0.4 θ) m, where θ is in radians. If the angular position of the arm is θ = (0.3 t3 ) rad, where t is in seconds. The cylinder is in contact with only one edge of the rod and slot at any instant. Find "the force of the rod on the cylinder at the instant t=2s" Find "the normal force of the slot at the instant t=2s" Find the "radius of curvature at t=2s" Find the "ψ angle at t=2s"