equivalent force-couple system at point A
4. The structure shown is formed of three separate solid aluminum cylindrical rods, each with a 1 cm diameter. What is the -coordinate of the centroid of volume for the structure? Select one: a. 15.2 cm b. 16.0 cm c. 15.9 cm d. 14.0 cm 10. A constant force of 750 N is applied through a pulley system to lift a mass of 50 kg as shown. Neglecting the mass and friction of the pulley system, what is the acceleration of the 50 kg mass? Select one: a. 20.2 m/s2 b. 16.2 m/s2 c. 8.72 m/s2 d. 5.20 m/s2 20. Find the distance between position B and C.
Select one: a. 292 N at -5.9o ; 103 N.m b. 333 N at 42.9o ; 53 N.m c. 114 N at 15.3o ; 50 N.m d. 307 N at 10.4o ; 110 N.m
36. A cable passes over a stationary sheave and supports a 60 kg bucket, as shown. The coefficient of friction between the cable abd the sheave is 0.10. The cable has a uniform mass per unit length of 0.4 kg/m. The cable is in the shape of a catenary due to its own weight. The tension o fthe cable at the pulley is given by T = wy, where w is the weight per unit lenght and the constant y (for this configuration) is known to be 151 m. How much more mass can be added to the4 bucket before the cable slips over the pulley?
28. Find the acceleration of block A after the blocks are released.
Select one: a. 2.5 m/s b. 0 m/s c. 1.4 m/s d. 5.6 m/s 35. A single force (not shown) is applied at point B in the ydirection, in line with points A and B. What should this force bein order for the frame to be in equilibrium in that direction?.
Select one: a. 12.1 kg b. 11.6 kg c. 10.0 kg d. 0 40. What are the - and ycoordinates of the centroid of the area?
Select one: a. 3.23 m b. 10.1 m c. 4.78 m d. 7.78 m 22. A 1530 kg car is towing a 300 kg trailer. The coefficient of friction between all tires and the road is 0.80. How fast can the car and trailer travel around an unbanked curve of radius 200 m without either the car or trailer skidding? Select one: a. 143 km/h b. 75.2 km/h c. 40.0 km/h d. 108.1 km/h 26. An angle bracket is subjected to the forces and couple shown. Determine the
Select one: a. 3.0 cm ; 4.0 cm b. 2.4 cm ; 3.4 cm c. 3.0 cm ; 3.6 cm d. 3.0 cm ; 3.8 cm
Select one: a. -280 N (down) b. 120 N (down) c. 180 N (down) d. -250 N (down)
44. A uniform rod (AB) of length L and weight W is pinned at point C. An initial impulse starts the rod accelerating with an initial angular acceleration (in rad/s2) of g/L. What is the initial reaction at point C?
a. 5.33 s b. 4.67 s c. 2.67 s d. 4.00 s 85. Determine the force in member AG for the pinconneted truss shown. Select one: a. w/3 b. w/4 c. 4w/7 d. 4w/7 62. A projectile is fired from a cannon with an initial velocity of 1000 m/s and at an angle of 30o from the horizontal. What distance from the cannon will the projectile strike the ground if the point of impact is 1500 m below the point of release?
Select one: a. 90 800 m b. 78200 m c. 67300 m d. 8200 m 49. Rigid link AB is 12 m long. It rotates counterclockwise about point A at 12 rev/min. A thin disk with radius 1.75 m is pinned at its center to the link at point B. The disk rotates counterclockwise at 60 rev/min with respect to point B. What is the maximum tangetial velocity seen by any point on the disk?
Select one: a. 45 m/s b. 28 m/s c. 33 m/s d. 6 m/s 71. A motorist is travelling at 70 km/h when he sees a traffic light in an intersection 250 m ahead turn red. The light's red cycle is 15 s. The motorist wanst to enter the intersection without stopping his vehicle, just as the light turns green. What uniform deceleration of the vehicle will just put the motorist in the intersection when the light turns greens? Select one: a. 0.18 m/s2 b. 1.3 m/s2 c. 0.37 m/s2 d. 25 m/s2
Select one: a. 37 500 N (tension) b. 31 500 N (compression) c. 25 000 N (compression) d. 50 000 N (tension) 86. What are the -and ycoordiantes of the centroid of the area?
57. Select one: a. 3.50 cm ; 5.50 cm b. 3.93 cm ; 4.79 cm c. 4.00 cm ; 5.00 cm d. 3.40 cm ; 5.60 cm
Select one: a. 96 N m b. 31 N m c. 72 N m d. 48 N m 75. A particle starting from rest experienced an acceleration of 3 m/s2 for 2 s. The particle then returned to rest in a distance of 8 m. Assuming all accelerations were uniform, what was the total time elapsed for the particles motion? Select one:
91. The location of a particle moving in the -y plane is given by the parametric equations = t2 + 4t and y =(1/4)t4 - 60t, where and y are in meters and t is in seconds. What I sthe particles velocity at t = 4 s? Select one: a. 16.0 m/s b. 8.95 m/s c. 11.3 m/s d. 12.6 m/s 92. The two cables shown carry a 100 N vertical load. What is the tension in cable AB?
e. TA = 699 N ; TB = 1398 N ; TC = 699 N
Select one: a. 80 N b. 60 N c. 50 N d. 40 N
97. Three coplanar forces are in equilibrium on the surface of a steel plate, as shown. Two of the forces are known to be 10 N. What is the angle, , of the third force?
102. QUEST032::Figure shows a uniform disk, with mass M = 2.5 kg and radius R = 20 cm, mounted on a fixed horizontal axle. A block with mass m = 1.2 kg hangs from a massless cord that is wrapped around the rim of the disk. Find the acceleration of the falling block. The cord does not slip, and there is no friction at the axle.
93. The pedestrian bridge truss shown has 10 000 N applied loads at points I,J, and K. What is the force in member IJ? Select one: a. 82.5o b. 26.7o c. 53.8o d. 7.50o
Select one: a. 18 000 N (compression) b. 8000 N (tension) c. 8000 N (compression) d. 18 000 N (tension) 95. The 285 kg plate shown is suspended horizontally by four wires of equal loenght, and the tension of each wire is equal. If wire D snaps, the tension in the three remaining wires is redistributed. Determined the tension in each wire after wire D snaps.
98. A signal arm carries two traffic signals and a sign, as shown. The siognals and sign are rigidly attached to the arm. Each traffic signal is 0.2 m2 in frontal area and weighs 210 N. The sign weighs 60 N/m2. The design wind pressure is 575 N/m2. The maximum moment that the connection between the arm and pole can withstand due to wind is 6000 N m , and the maximum permitted moment due to the loads is 4000 N m. As limited by moment on the connection, what is the maximum area of the sign?
Select one: a. -4.8 m/s2 b. 4.8 m/s2 c. -3.2 m/s2 d. 3.2 m/s2 104. A box has uniform density and a total weight of 600 N. It is suspended by three equallength cables, AE,BE, and CE, as shown. Point E is 0.5 m directly above the center of the box's top surface. What is the tension in cable CE?
Select one: a. 400 N b. 200 N c. 128 N d. 370 N 109. A model T-beam is constructed from five balsa boards. Refer to the illustration for the as-built dimensions. What is the approximate centroidal moment of inertia about an axis parallel to the -axis? Select one: a. TA /= 699 N ; TB /= 699 N ; TC /= 1398 N b. TA /=1398 N ; TB /= 1398 N ; TC /= 0 N c. TA / d. TA /= 1398 N ; TB /= 0 N ; TC /= 1398 N
Select one: a. 5.65 m2 b. 1.15 m2 c. 8.03 m2 d. 1.04 m2
111. A 2.5-kg ball and a 5.0-kg ball have an elastic collision. Before the collision, the 2.5-kg ball was at rest and the other ball had a speed of 3.5 m/s. What is the kinetic energy of the 2.5-kg ball after the collision? _____" Select one: a. 27 J b. 14 J c. 5.8 J d. 8.1 J
Select one: a. 660 cm4 b. 600 cm4 c. 500 cm4 d. 560 cm4 110. A 3 kg disk with a diameter of 0.6 m is rigidly attached at point B to 1 kg rod 1 m in length. The rod-disk combination rotates around point A. What is the mass moment of inertia about A for the combinanation
Select one: a. 0.56 kg m2 b. 0.87 kg m2 c. 047 kg m2 d. 3.7 kg m2
130. A parallel-plate air capacitor is made from two plates 0.070 m square, spaced 6.3 mmapart. What must the potential difference between the plates be to produce an energyde nsity of 0.037 J/m3? Select one: a. 470 V b. 370V c. 270 V d. 570 V 140. An isolated parallel-plate capacitor (not connected to a battery) has a charge of Q = 2.9 × 10-5 C. The separation between the plates initially is d = 1.2 mm, and for this separation the capacitance is 3.1 × 10-11 F. Calculate the work that must be done to pull the plates apart until their separation becomes 5.3 mm, if the charge on the plates remains constant. The capacitor plates are in a vacuum Select one: a. 5 J b. 46 J c. 48 J
d. 47 J 152. A golfer on level ground attempts to drive a gof ball across a 50 m wide pond, hitting the ball so that it travels initially at 25 m/s. The ball travels at an initial angle of 45o to the horizontal plane. How far will the golf ball travel, and does it clear the pond? Select one: a. 58 m; the ball clears the pond b. 32 n; the ball does not clear the pond c. 45 m; the ball does not clear the pond d. 64 m ; the ball clears the pond
165. QUEST031::Two particles are fixed to an x axis : particle 1 of charge -2.00 x 10-7 C at x=6.00 cm and particle 2 of charge +2.00 x 10-7 C at x=21.0 cm. Midway between the particles, what is their net electric field in unit vector notation? Select one: a. -6.39 x 105 N/C i ̂ b. -2.40 x 105 N/C i ̂ c. -4.00 x 105 N/C i ̂ d. -3.20 X 105 N/C i ̂ 167. A torsional pendulum consists of a 5 kg uniform disk with a diameter of 50 cm attached at its center to a rod 1.5 m in length. The torsional spring constant is 0.625 N.m/rad. Disregarding the mass of the rod, what is the natural frequency of the torsional pendulum? Select one: a. 1.0 rad/s b. 1.4 rad/s c. 1.2 rad/s d. 2.0 rad/s
