(8) Determine the moment of the force T = 95 N about point O. Ans: Mo=733 N·m CCW T 40° -12 m-
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- A gear train consists of three gears meshed together (Figure 9). The middle gear is known as an idler. Show that the angular velocity of the third gear does not depend on the number of teeth of the idler gear (Gear 2).(4) A force F is applied through the bar on the slider at A as shown. If the t-component of the force is Ft = 90 N, determine the n-, x-, and y-components of the force F. Ans: Fn=-107.3 N, Fx = 131.6 N, Fy = -47.9 N F 20° n 30°A 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.)
- (5) A force T is applied at the tip of the rod as shown. If the n- component of the force is T, = 35 lb, determine the t-, x-, and y-components of the force T. The t-axis is directed along the rod, and the n-axis is perpendicular to the rod. Ans: T₁ =-130.6 lb, Tx=-103.6 lb, Ty = -86.9 lb T n 40° O 55°A 50 N force is applied at the end of a 20 cm wrench and makes an angle of 30° with the handle of the wrench. Find the magnitude of the torque. b. What is the maximum torque that can be exerted by a 50 N force on the wrench and а. how it can be achieved?12. Find the torque on a bolt when a force of 290 N is applied on a wrench 33 cm from the bolt, at an angle of 77° to the wrench. Ans:
- 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 theCalculate 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-mq5
- How do you compute the magnitude of v = (V1, V2)?A basket of flowers of mass 3 kg is placed on a flat grassy slope that makes an angle θ with the horizontal. The coefficient of static friction between the basket and the slope is 0.45 and the basket is on the point of slipping down the slope. Model the basket of flowers as a particle and the grassy slope as a plane. Take the magnitude of the acceleration due to gravity, g, to be 9.8 m s−2 Express the forces in component form, in terms of θ and unknown magnitudes where appropriate. Write down the equilibrium condition for the basket and hence show that tan θ = 0.45. Determine the angle, in degrees, that the slope makes with the horizontal.3. (a) Determine the horizontal and vertical components of the 940 lb force. (b) The components of the force perpendicular to and along the plane. 940 lbs 68% 22°
