(5) The 16 N force is applied to the foot valve AC at point A as shown with a = 28°. Determine (a) the force component perpendicular to line BA and (b) then calculate the moment produced by the force about point B. Ans: (a) 7.51 N (b) MB = 1.277 N·m CCW 20° 16 N 170 mm 80 mm

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.)

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-m

A spy stands on the sidewalk by an apartment building examining a foreign embassy across the street. The spy then climbs 30 m to the top the building and then slides 40 m along a wire at a 20° angle below horizontal to reach a window on the embassy. What is their total displacement from the sidewalk to the embassy window?

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.

(5) The force F=80 N is applied to the crank OA through rod AB at point A as shown, with OA= 0.05 m, 0 = 55°, and ẞ= 15°. (a) Determine from geometry the moment arm d for the force about point O, and then (b) determine the moment of the force F about point O. Ans: (a) 0.0383 m (b) 3.06 N·m CCW F B

A sheet of water of uniform thickness (h = 0.03 m) flows from the device shown in the figure below. The water enters vertically through the inlet pipe and exits horizontally with a speed that varies linearly from 0 to 11 m/s along the 0.2-m length of the slit. Determine the y component of anchoring force necessary to hold this device stationary. FAY = 0 m/s- i 0.2m 0.03m N 11m/s

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

A cable exerts a constant upward tension of magnitude 2.14 ✕ 104 N on a 2.00 ✕ 103 kg elevator as it rises through a vertical distance of 3.90 m. HINT (a) Find the work done by the tension force on the elevator (in J).  J (b) Find the work done by the force of gravity on the elevator (in J).  J

A sodium ion (Na+) moves in the xy-plane with a speed of 2.90 ✕ 103 m/s. If a constant magnetic field is directed along the z-axis with a magnitude of 3.25 ✕ 10−5 T, find the magnitude of the magnetic force acting on the ion and the magnitude of the ion's acceleration. HINT (a) the magnitude (in N) of the magnetic force acting on the ion  N (b) the magnitude (in m/s2) of the ion's acceleration  m/s2