(6) Determine the applied force P required to keep the 200 kg engine in the equilibrium position for which 0 = 30°. Ignore the small diameter of the pulley at B. Ans: 1759 N 2 m B 2 m 200 kg P
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- Calculate the force (in Newtons) required to push a 50kg wagon up a 0.2 radian inclined plane. One Newton (N) is equal to 1 kg-m and the g2 force due to gravity on the wagon is F = m * g, where m is the mass of the wagon, and g is the acceleration due to gravity (9.8 ). Please ignore friction in this problem. Hint: draw a picture, and express the forces on the wagon as vectors. Force NA wrench 25 cm long lies along the positive y-axis and grips a bolt at the origin. A force is applied in the direction (a.3.-4) at the end of the wrench. Find the magnitude of the force needed to supply 100 N · m of torque to the bolt. (Round your answer to the nearest whole number.)How much force must be applied to a 1.8kg ice hockey puck to give it an acceleration of 10 m s-2
- 4. Your upper arm exerts 60N and lower arm exerts 40N anteriorly and superiorly. When your upper and lower arms are bent at 90°, describe the magnitude and direction of the resultant force exerted on your arm. nff a long jumper has a forward (horizontal) velocity of 15m/sec and a vertical ntall and the magnitude of the(6) A force of 200 N is applied perpendicular to the wrench at its tip as shown. Determine the equivalent force-couple system at center O of the wheel. Ans: F=68.4-187.9 N, Mo = 78.3 N'm CW 650 mm 125 mm 450 mm 20° 200 NThe weight of an individual walking is 824N. The hill they are walking on has a slope of 10 degrees. Assuming they are in a static equilibrium what is their normal force?
- A helicopter flies over the arctic ice pack at a constant altitude, towing an airborne 147-kg laser sensor which measures the thickness of the ice (see the drawing). The helicopter and the sensor move only in the horizontal direction and have a horizontal acceleration of magnitude 2.54 m/s2. Ignoring air resistance, find the tension in the cable towing the sensor.Calculate the moment Mg of the 780-N force about the bolt at B. Simplify your work by first replacing the force by its equivalent force- couple system at A. The moment is positive if counterclockwise, negative if clockwise. Assume F = 780 N. r = 195 mm, h=620 mm, 0 = 33% = 40° Answer: Ma N-mUse the concept of Particular Antiderivatives and Rectilinear Motion to answer the problem below: On the edge of an 8m building, Sam throws his toy vertically upwards at initial velocity = 28 m/s. If the only force that acts on the toy is accelerationdue to gravity (-32 ft/s), a. How many seconds will it take for the toy to reach its maximum height?b. What is the toy's speed when it hits the ground?
- (8) Determine the moment of the force T = 95 N about point O. Ans: Mo=733 N·m CCW T 40° -12 m-The force P = 15 lb is applied to the cable and the cords slip on the smooth surfaces of the non- rotating pulleys. Determine the magnitude and direction of the acceleration of the 36-lb cylinder if (a) the pulleys are massless, (b) the pulleys are 4 lb each. (a = 21.5 ft/sec², a = = 6.9 ft/sec²) P WA spring, for which k=48 lb/ft, hangs in a vertical position with its upper end fixed. A mass weighing 16 lb is attached to the lower end. After coming to rest, the mass is pulled down 2 inches and release. Determine the amplitude of the support of the spring given a motion y=cos4t ft.