Vector Mechanics For Engineers
12th Edition
ISBN: 9781259977237
Author: BEER
Publisher: MCG
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Chapter 16.2, Problem 16.97P
To determine
Largest magnitude of force for which no slipping will occur.
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A garage door is mounted on an overhead rail. The wheels at A and B have rusted so that they do not roll, but rather slide along the track. The coefficient of kinetic friction is 0.55. The distance between the wheels is 2.00 m, and each is 0.50m from the vertical sides of the door. The door is uniform and weighs 850 N. It is pushed to the left at constant speed by a horizontal force F⃗, that is applied as shown in the figure.
If the distance h is 1.60 m, what is the vertical component of the force exerted on the wheel A by the track?
If the distance h is 1.60 m, what is the vertical component of the force exerted on the wheel B by the track?
Find the maximum value hh can have without causing one wheel to leave the track.
SITUATION 2: A packing crate of mass 40 kg is pulled by a rope as shown. Knowing that the coefficient of static friction between the crate and the floor is 0.35, answer the following questions:
4. If α = 40°, determine the magnitude of the force P required to move the crate, in N. (ANSWER: 139)
5. If the crate must be moved to the left along the floor without tipping, determine the largest allowable value of α in degrees. (ANSWER: 58)
the uniform slender rod AB shown of weight w is supported by A peg at C and its end A rests against a vertical wall. the coefficients of friction at A and C are equal to f. find the ratio L/a when motion is impending. if θ=30˚ and f=0.3, find the ratio L/a.
Chapter 16 Solutions
Vector Mechanics For Engineers
Ch. 16.1 - Two pendulums, A and B, with the masses and...Ch. 16.1 - Two pendulums, A and B, with the masses and...Ch. 16.1 - Two solid cylinders, A and B, have the same mass m...Ch. 16.1 - A 6-ft board is placed in a truck with one end...Ch. 16.1 - Prob. 16.F2PCh. 16.1 - Two uniform disks and two cylinders are assembled...Ch. 16.1 - Prob. 16.F4PCh. 16.1 - A 60-Ib uniform thin panel is placed in a truck...Ch. 16.1 - A 60-lb uniform thin panel is placed in a truck...Ch. 16.1 - Knowing that the coefficient of static friction...
Ch. 16.1 - Prob. 16.4PCh. 16.1 - A uniform rod BC of mass 4 kg is connected to a...Ch. 16.1 - A 2000-kg truck is being used to lift a 400-kg...Ch. 16.1 - The support bracket shown is used to transport a...Ch. 16.1 - Prob. 16.8PCh. 16.1 - A 20-kg cabinet is mounted on casters that allow...Ch. 16.1 - Prob. 16.10PCh. 16.1 - A completely filled barrel and its contents have a...Ch. 16.1 - A 40-kg vase has a 200-mm-diameter base and is...Ch. 16.1 - Prob. 16.13PCh. 16.1 - Bars AB and BE, each with a mass of 4 kg, are...Ch. 16.1 - At the instant shown, the tensions in the vertical...Ch. 16.1 - Three bars, each of mass 3 kg, are welded together...Ch. 16.1 - Prob. 16.17PCh. 16.1 - Prob. 16.18PCh. 16.1 - Prob. 16.19PCh. 16.1 - The coefficients of friction between the 30-lb...Ch. 16.1 - Prob. 16.21PCh. 16.1 - Prob. 16.22PCh. 16.1 - Prob. 16.23PCh. 16.1 - Prob. 16.24PCh. 16.1 - Prob. 16.25PCh. 16.1 - Prob. 16.26PCh. 16.1 - Prob. 16.27PCh. 16.1 - Solve Prob. 16.27, assuming that the initial...Ch. 16.1 - The 100-mm-radius brake drum is attached to a...Ch. 16.1 - The 180-mm-radius disk is at rest when it is...Ch. 16.1 - Solve Prob. 16.30, assuming that the direction of...Ch. 16.1 - In order to determine the mass moment of inertia...Ch. 16.1 - Prob. 16.33PCh. 16.1 - Each of the double pulleys shown has a mass moment...Ch. 16.1 - Prob. 16.35PCh. 16.1 - Solve Prob. 16.35, assuming that the couple M is...Ch. 16.1 - Gear A weighs 1 lb and has a radius of gyration of...Ch. 16.1 - The 25-lb double pulley shown is at rest and in...Ch. 16.1 - A belt of negligible mass passes between cylinders...Ch. 16.1 - Solve Prob. 16.39 for P=2.00lb .Ch. 16.1 - Disk A has a mass of 6 kg and an initial angular...Ch. 16.1 - Prob. 16.42PCh. 16.1 - Prob. 16.43PCh. 16.1 - Disk B is at rest when it is brought into contact...Ch. 16.1 - Cylinder A has an initial angular velocity of 720...Ch. 16.1 - Prob. 16.46PCh. 16.1 - Prob. 16.47PCh. 16.1 - Prob. 16.48PCh. 16.1 - (a) In Prob. 16.48, determine the point of the rod...Ch. 16.1 - A force P with a magnitude of 3 N is applied to a...Ch. 16.1 - Prob. 16.51PCh. 16.1 - A 250-lb satellite has a radius of gyration of 24...Ch. 16.1 - Prob. 16.53PCh. 16.1 - A uniform semicircular plate with a mass of 6 kg...Ch. 16.1 - Prob. 16.55PCh. 16.1 - Prob. 16.56PCh. 16.1 - The 12-lb uniform disk shown has a radius of r=3.2...Ch. 16.1 - Prob. 16.58PCh. 16.1 - Prob. 16.59PCh. 16.1 - Prob. 16.60PCh. 16.1 - The 400-lb crate shown is lowered by means of two...Ch. 16.1 - Prob. 16.62PCh. 16.1 - Prob. 16.63PCh. 16.1 - A beam AB with a mass m and of uniform...Ch. 16.1 - Prob. 16.65PCh. 16.1 - Prob. 16.66PCh. 16.1 - Prob. 16.67PCh. 16.1 - Prob. 16.68PCh. 16.1 - Prob. 16.69PCh. 16.1 - Solve Prob. 16.69, assuming that the sphere is...Ch. 16.1 - A bowler projects an 8-in.-diameter ball weighing...Ch. 16.1 - Solve Prob. 16.71, assuming that the bowler...Ch. 16.1 - A uniform sphere of radius r and mass m is placed...Ch. 16.1 - A sphere of radius r and mass m has a linear...Ch. 16.2 - A cord is attached to a spool when a force P is...Ch. 16.2 - A cord is attached to a spool when a force P is...Ch. 16.2 - A front-wheel-drive car starts from rest and...Ch. 16.2 - A front-wheel-drive car starts from rest and...Ch. 16.2 - Prob. 16.F5PCh. 16.2 - Prob. 16.F6PCh. 16.2 - Prob. 16.F7PCh. 16.2 - Prob. 16.F8PCh. 16.2 - Show that the couple I of Fig. 16.15 can be...Ch. 16.2 - Prob. 16.76PCh. 16.2 - Prob. 16.77PCh. 16.2 - A uniform slender rod of length L=36 in. and...Ch. 16.2 - Prob. 16.79PCh. 16.2 - Prob. 16.80PCh. 16.2 - Prob. 16.81PCh. 16.2 - Prob. 16.82PCh. 16.2 - Prob. 16.83PCh. 16.2 - A uniform rod of length L and mass m is supported...Ch. 16.2 - Prob. 16.85PCh. 16.2 - Prob. 16.86PCh. 16.2 - Prob. 16.87PCh. 16.2 - Two identical 4-lb slender rods AB and BC are...Ch. 16.2 - Prob. 16.89PCh. 16.2 - Prob. 16.90PCh. 16.2 - Prob. 16.91PCh. 16.2 - Prob. 16.92PCh. 16.2 - Prob. 16.93PCh. 16.2 - Prob. 16.94PCh. 16.2 - A homogeneous sphere S, a uniform cylinder C, and...Ch. 16.2 - Prob. 16.96PCh. 16.2 - Prob. 16.97PCh. 16.2 - Prob. 16.98PCh. 16.2 - Prob. 16.99PCh. 16.2 - A drum of 80-mm radius is attached to a disk of...Ch. 16.2 - Prob. 16.101PCh. 16.2 - Prob. 16.102PCh. 16.2 - Prob. 16.103PCh. 16.2 - Prob. 16.104PCh. 16.2 - Prob. 16.105PCh. 16.2 - A 12-in.-radius cylinder of weight 16 lb rests on...Ch. 16.2 - A 12-in.-radius cylinder of weight 16 lb rests on...Ch. 16.2 - Gear C has a mass of 5 kg and a centroidal radius...Ch. 16.2 - Two uniform disks A and B, each with a mass of 2...Ch. 16.2 - Prob. 16.110PCh. 16.2 - Prob. 16.111PCh. 16.2 - Prob. 16.112PCh. 16.2 - Prob. 16.113PCh. 16.2 - A small clamp of mass mBis attached at B to a hoop...Ch. 16.2 - Prob. 16.115PCh. 16.2 - A 4-lb bar is attached to a 10-lb uniform cylinder...Ch. 16.2 - The uniform rod AB with a mass m and a length of...Ch. 16.2 - Prob. 16.118PCh. 16.2 - A 40-lb ladder rests against a wall when the...Ch. 16.2 - A beam AB of length L and mass m is supported by...Ch. 16.2 - End A of the 6-kg uniform rod AB rests on the...Ch. 16.2 - Prob. 16.122PCh. 16.2 - Prob. 16.123PCh. 16.2 - The 4-kg uniform rod ABD is attached to the crank...Ch. 16.2 - The 3-lb uniform rod BD is connected to crank AB...Ch. 16.2 - Prob. 16.126PCh. 16.2 - Prob. 16.127PCh. 16.2 - Prob. 16.128PCh. 16.2 - Prob. 16.129PCh. 16.2 - Prob. 16.130PCh. 16.2 - Prob. 16.131PCh. 16.2 - Prob. 16.132PCh. 16.2 - Prob. 16.133PCh. 16.2 - Prob. 16.134PCh. 16.2 - Prob. 16.135PCh. 16.2 - The 6-kg rod BC connects a 10-kg disk centered at...Ch. 16.2 - In the engine system shown, l=250 mm and b=100 mm....Ch. 16.2 - Solve Prob. 16.137 when =90 .Ch. 16.2 - The 4-lb uniform slender rod AB, the 8-lb uniform...Ch. 16.2 - Prob. 16.140PCh. 16.2 - Two rotating rods in the vertical plane are...Ch. 16.2 - Prob. 16.142PCh. 16.2 - Prob. 16.143PCh. 16.2 - Prob. 16.144PCh. 16.2 - Prob. 16.145PCh. 16.2 - Prob. 16.146PCh. 16.2 - Prob. 16.147PCh. 16.2 - Prob. 16.148PCh. 16.2 - Prob. 16.149PCh. 16.2 - Prob. 16.150PCh. 16.2 - (a) Determine the magnitude and the location of...Ch. 16.2 - Draw the shear and bending-moment diagrams for the...Ch. 16 - A cyclist is riding a bicycle at a speed of 20 mph...Ch. 16 - Prob. 16.154RPCh. 16 - The total mass of the Baja car and driver,...Ch. 16 - Prob. 16.156RPCh. 16 - Prob. 16.157RPCh. 16 - Prob. 16.158RPCh. 16 - A bar of mass m=5 kg is held as shown between four...Ch. 16 - A uniform plate of mass m is suspended in each of...Ch. 16 - Prob. 16.161RPCh. 16 - Two 3-kg uniform bars are connected to form the...Ch. 16 - Prob. 16.163RPCh. 16 - Prob. 16.164RP
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- 4. A 300-lb cabinet is mounted on casters that can be locked to prevent their rotation. The coefficient of static friction between the floor and each caster is 0.23. Assuming that the casters at both A and B are locked, determine (a) the force Prequired to move the cabinet to the right, (b) the largest allowable value of h if the cabinet is not to tip over. В 24 in.arrow_forwardA clockwise couple M is applied to the circular cylinder as shown. Determine the value of M required to initiate motion for the conditions mg = 4.6 kg, mc - 4.7 kg, (s)B=0.46, (c=0.34, and r=0.21 m. Friction between the cylinder C and the block B is negligible. (s)c Answer: M = mc M mg (₂)B N.marrow_forwardPlease solve 16-6.arrow_forward
- b.4arrow_forwardThe 12-lb uniform disk shown has a radius of r = 3.2 in. and rotates counterclockwise. Its center C is constrained to move in a slot cut in the vertical member AB, and an 11-lb horizontal force P is applied at B to maintain contact at D between the disk and the vertical wall. The disk moves downward under the influence of gravity and the friction at D. Knowing that the coefficient of kinetic friction between the disk and the wall is 0.12 and neglecting friction in the vertical slot, determine (a) the angular acceleration of the disk, (b) the acceleration of the center C of the disk.arrow_forwardQ3. The double pulley shown in Fig Q3 has a mass of 14 kg and a centroidal radius of gyration of 165 mm. A and B are attached to cords that are wrapped around the pulley. µk = 0.25 between B and the surface. A friction moment exists in the axle of the pulley of 0.8 Nm. Knowing the system is released from rest, at the position shown, Using hand Calculations to determine, a) The velocity of A as it strikes the ground b) The total distance covered by B before it comes to rest. Using MATLAB to plot the variation of the velocity with the work done by the system. 250 mm 150 mm Not to scale m, = 9 kg B A m, = 11.5 kg 900 mm Fig. Q3arrow_forward
- This is specifically a Statics problem. A 75-kg cabinet is mounted on casters which can be locked to prevent their rotation. The coefficient of static friction between each caster and the floor is 0.32. Assuming that the casters at both A and B are locked, determine a) the force P required to move the cabinet to the right, and b) the largest allowable value of h if the cabinet is not to tip over.arrow_forwardA cylinder of radius R and mass M is tied to a rope that connects it to a box of mass m, through a pulley of radius R and mass m, as shown in the figure. Assume that to the left of the pulley there is friction on the floor such that the cylinder rolls without slipping, while to the right of the pulley the incline on which the crate slides is frictionless. If m > M and knowing that the box starts from rest at a height h_b and the cylinder starts at a height h_c and ends at a height h_c': (a) Using the conservation of mechanical energy, find the speed of the box when it reaches height h_b'.arrow_forwardA cylinder of radius R and mass M is tied to a rope that connects it to a box of mass m, through a pulley of radius R and mass m, as shown in the figure. Assume that to the left of the pulley there is friction on the floor such that the cylinder rolls without slipping, while to the right of the pulley the incline on which the crate slides is frictionless. If m > M and knowing that the box starts from rest at a height h, use the equations of translational and rotational dynamics to find the velocity of the crate when it reaches height h'.arrow_forward
- Please don't provide handwritten solution ....arrow_forwardThe double pulley shown has a weight of 32.5 lb and a centroidal radius of gyration of 6.0 in. Cylinder A (35.0 lb) and block B (18 lb) are attached to cords that wrap around pulleys in the manner shown. The coefficient of kinetic friction between block B and the surface is 0.25. Knowing that the system is released from rest at the position shown (h = 3 ft), determine the total distance that block B moves before coming to rest. 6 in. A h 10 in. Barrow_forwardThe 200-mm-radius brake drum is attached to a larger Bywheel. The total mass moment of inertia of the flywheel and drum is 19 kg. and the coefficient of kinetic friction between the drum and the brake shoe is 035, Knowing that the initial angular velocity of the flywheel is 180 rpm clockwise, determine the vertical force P that must be applied to the pedal C if the system is to stop in 100 revolutions. 150 mm 250 mm B ne: P= 172.88 N C 375 mm 200 mmarrow_forward
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