A toy airplane has mass 1.5 kg and can produce a thrust of 5.0 N from the engine and propeller. It is tied to the ceiling by a light rope (negligible mass) and the engine is turned on. If the plane remains horizontal, what angle does the rope make with the vertical?
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A toy airplane has mass 1.5 kg and can produce a thrust of 5.0 N from the engine and propeller. It is tied to the ceiling by a light rope (negligible mass) and the engine is turned on. If the plane remains horizontal, what angle does the rope make with the vertical?
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- While installing new spark plugs in your car, the manual specifies they be tightened to 43 Nm. If you can only apply a force to the wrench 22 cm from the plug, and only at an angle of 62 degrees, What magnitude force should you apply to the wrench?In the figure here three ballot boxes are connected by cords, one of which wraps over a pulley having negligible friction on its axle and negligible mass. The masses are mA = 26 kg, mB = 45 kg, and mC = 12 kg. When the assembly is released from rest, (a) what is the tension in the cord connecting B and C, and (b) how far does A move in the first 0.200 s (assuming it does not reach the pulley)?The figure below shows a claw hammer being used to pull a nail out of a horizontal board where 0 = 25.6°. The mass of the hammer is 1.00 kg. A force of 145 N is exerted horizontally as shown, and the nail does not yet move relative to the board. Assume the force the hammer exerts on the nail is parallel to the nail. Ө 30.0 cm Single point of contact 5.00 cm (a) Find the force exerted by the hammer claws on the nail. magnitude KN direction above the horizontal (b) Find the force exerted by the surface on the point of contact with the hammer head. Ĵ) N ( Î +
- A ball of mass 3 kg is suspended at rest by two ideal ropes connected to the ceiling at points 1 and 2 as shown. Theangle between the horizontal and rope 1 is θ = arctan(4/8) = 26.57 deg.Determine the magnitude of the tension in the rope connecting the ball to point 1.Lizzy is training on the trapeze when a slight accident occurs. As a result, she is now hanging from the middle of a 60 m safety rope connected to the ceiling on one end and held by a strongwoman from the circus on the other end. She has a mass of 50 kg and the part of the rope connected to the ceiling makes an angle of 55° with the vertical. The part of the rope that connects Lizzy to her fellow circus artist makes an angle of 20° above the horizontal (the strongwoman is above Lizzy). As long as Lizzy remains stationary, what is the tension in both parts of the rope?In the figure here three ballot boxes are connected by cords, one of which wraps over a pulley having negligible friction on its axle and negligible mass. The masses are ma = 27 kg, mg = 41 kg, and mc = 15 kg. When the assembly is released from rest, (a) what is the tension in the cord connecting B and C, and (b) how far does A move in the first 0.200 s (assuming it does not reach the pulley)? Assume the table surface frictionless. A В C (a) Number i Unit (b) Number i Unit >
- One end of a string is wrapped several times around a pulley of mass 0.92 kgkg that is oriented vertically. The other end of the string is connected to a block of mass 0.35 kg, which is then slowly lowered until the string becomes taut. After which the person lets go of the block completely, thus allowing the block to descend and the pulley to rotate in unison. What is the magnitude of the acceleration of the block after the person has let go?Due to an unequal distribution of fuel in the wing tanks, the centers of gravity for the airplane fuselage A and wings B and C are located as shown. If these components have weights WA = 45 000 lb, Wg = 8000 lb, and Wc = 6000 lb, determine the normal reactions of the wheels D, E, and F on the ground. Bo 8 ft 4 ft 6 ft 8 ft 6 ft 20 ft 3 ftA system comprised blocks, a light frictionless pulley, and connecting ropes is shown in the figure. The B block has a mass of 9.3 kg and is on a perfectly smooth horizontal table. The surfaces of the A block, which has a mass of 8.2 kg, are rough, with μk=μk= 0.25 between the block and the table. If the C block with mass 9.9 kg accelerates downward when it is released, find its acceleration.
- The figure below shows a claw hammer being used to pull a nail out of a horizontal board where ? = 27.3°. The mass of the hammer is 1.00 kg. A force of 165 N is exerted horizontally as shown, and the nail does not yet move relative to the board. Assume the force the hammer exerts on the nail is parallel to the nail. A hand uses a hammer to pull a nail out of the ground. The head of the hammer is curved and touches the ground at a single point of contact at the center of the head. The nail in the ground makes an acute angle ? clockwise from the vertical. The nail is hooked in the hammer claw 5.00 cm horizontally to the left of the hammer head's point of contact to the ground. The hand pulls the hammer handle horizontally to the right 30.0 cm above the ground with a force vector F.(a) Find the force exerted by the hammer claws on the nail.magnitude kNdirection ° above the horizontal (b) Find the force exerted by the surface on the point of contact with the hammer head.( î + ĵ)…A speedboat with a mass of 545 kg545 kg (including the driver) is tethered to a fixed buoy by a strong 32.7 m32.7 m cable. The boat's owner loves high speed, but does not really want to go anywhere. So the owner revs up the boat's engine, makes a lot of noise, and runs the boat in circles around the buoy with the cable supplying all the necessary centripetal force. When the tension of the cable is steady at 13700 N,13700 N, with what force is the boat's engine pushing the boat? Different physics textbooks treat drag force somewhat differently and use different formulas. For the present purpose, take the water's drag force on the boat to be (450 kg/m)×?2,(450 kg/m)×v2, where ?v denotes the boat's speed. Ignore any drag force on the cable.A speedboat with a mass of 505 kg (including the driver) is tethered to a fixed buoy by a strong 29.7 m cable. The boat's owner loves high speed, but does not really want to go anywhere. So the owner revs up the boat's engine, makes a lot of noise, and runs the boat in circles around the buoy with the cable supplying all the necessary centripetal force. When the tension of the cable is steady at 12300 N, with what force is the boat's engine pushing the boat? Different physics textbooks treat drag force somewhat differently and use different formulas. For the present purpose, take the water's drag force on the boat to be (450 kg/m) × v², where v denotes the boat's speed. Ignore any drag force on the cable. force: N & TOOLS x10