A 1-kg collar can slide on a horizontal rod that is free to rotate about a vertical shaft. The collar is initially held at A by a cord attached to the shaft. A spring of constant 30 N/m is attached to the collar and to the shaft and is undeformed when the collar is at A. As the rod rotates
Fig. P12.90
Want to see the full answer?
Check out a sample textbook solutionChapter 12 Solutions
Vector Mechanics for Engineers: Statics and Dynamics
- A 200 lb block moving on a smooth horizontal plane with a velocity of 4 ft/s strikes a horizontal spring having a spring constant of 160 lb/in. Determine the maximum compressive force developed in the spring. The correct answer is 435 lbs.arrow_forward3. A block of mass m = 2.00 kg rests on the left edge of a block of mass M = 8.00 kg. The coefficient of kinetic friction between the two blocks is 0.300, and the surface on which the 8.00 %3D kg block rests is frictionless. A constant horizontal force of magnitude F = 10.0 N is applied to the 2.00-kg block, setting it in motion as shown in Figure. The distance L that the leading edge of the smaller block travels on the larger block is 3.00 m. L M m M (a) Draw a separate free-body diagram for each block. (b) In what time interval will the smaller block make it to the right side of the 8.00-kg block? as (Note: Both blocks are set into motion when the force is applied.) (c) How far does the 8.00-kg block move in the process?arrow_forwardSlider C has a mass of 0.5 kg and may move in a slot cut in arm AB, which rotates at constant speed in a horizontal plane. The slider is attached to a spring of constant k = 150 N/m, which is unstretched when r = 0. When arm AB rotates about the vertical axis, the slider moves without friction outward along the smooth slot cut. Determine for the position r = 80 mm: a) The constant speed (V) of the slider. b) The normal force (N) exerted on the slider by arm AB. A r=80mm Barrow_forward
- Q6. The 9-kg ball is connected to a spring with spring constant k = 100 N/m and unstretched length of 0.8 m. Initially the spring is compressed and has length 0.5 m. Then under the constant applied force F = 320 N (in the direction shown in the image) acting on the ball, the spring is stretched to a new length 1.6 m. Determine the work done by force F to the ball during this process. Please pay attention: the numbers may change since they are randomized. Negative sign must be included if the work done is negative. Your answer must include 1 place after the decimal point, and proper Sl unit. www Your Answer: Answer 40° units F 15°arrow_forwardA mass of 20 kg is suspended from a spring of stiffness 10000 N/m andthe vertical motion of mass is subjected to coulomb friction of magnitude50 N. if the spring is initially displaced 5 cm downwards from its staticequilibrium position. Determine the number of cycles before the bodycomes to rest.arrow_forwardA 25 - lb block-on-a-slope (0 = 30°) mechanism has been arranged in the Dynamics lab so that at the state shown, the spring (k = 15 lb/ft) is unstretched, the block has moved down so = 2 ft, and the block is moving downward at vo = 16 ft/s. The coefficient of friction is μ = 0.20. A constant force of F = 10 lb is applied in line with the slope. Determine the additional distance the block moves down the slope when it stops. So 500000- k vo Ө Farrow_forward
- A block of mass 1.0kg on a horizontal surface is attached to a horizontal spring of negligible mass and spring constant 100N/m. The other end of the spring is attached to a wall, and there is negligible friction between the block and the horizontal surface. When the spring is unstretched, the block is located at x=0m. The block is then pulled to x=0.5m and released from rest so that the block-spring system oscillates between x=−0.5m and x=0.5m, as shown in the figure. Which of the following descriptions about the system are correct? Highlight two answers. The kinetic energy of the block and the spring potential energy of the system at x=0.25m are both half of the total mechanical energy of the system. The spring potential energy of the system at x=0.25m is nearly 3.13 J The kinetic energy of the system at x=0.3m is nearly 4.5J The sum of the spring potential energy of the system and the kinetic energy of the block at x=0.4m is nearly 12.5Jarrow_forwardA 3.08-g bullet embeds itself in a 1.7-kg block, which is attached to a spring of force constant 827-N/m. If the maximum compression of the spring is 4.45-cm, find the time of the bullet-block system to come to rest. Provide your final answer in milli seconds.arrow_forward3. A block of mass m = 2.00 kg rests on the left edge of a block of mass M= 8.00 kg. The coefficient of kinetic friction between the two blocks is 0.300, and the surface on which the 8.00 kg block rests is frictionless. A constant horizontal force of magnitude F= 10.0N is applied to the 2.00-kg block, setting it in motion as shown in Figure. The distance L that the leading edge of the smaller block travels on the larger block is 3.00 m. F - m M M (a) Draw a separate free-body diagram for each block. (b) In what time interval will the smaller block make it to the right side of the 8.00-kg block? as (Note: Both blocks are set into motion when the force is applied.) (c) How far does the 8.00-kg block move in the process?arrow_forward
- 3. A block of mass m = 2.00 kg rests on the left edge of a block of mass M = 8.00 kg. The coefficient of kinetic friction between the two blocks is 0.300, and the surface on which the 8.00 kg block rests is frictionless. A constant horizontal force of magnitude F = 10.0 N is applied to the 2.00-kg block, setting it in motion as shown in Figure. The distance L that the leading edge of the smaller block travels on the larger block is 3.00 m. m (a) Draw a separate free-body diagram for each block. (b) In what time interval will the smaller block make it to the right side of the 8.00-kg block? as (Note: Both blocks are set into motion when the force is applied.) (c) How far does the 8.00-kg block move in the process?arrow_forward2. The 70-kg door is to close automatically using torsional springs 0.4 m mounted on the hinges. If the torque on each hinge is M = k0, where 0 M is measured in radians, what value k should I be looking for in each of two torsional springs? I desire the door to close as quickly as possible, 1.5 m but to have its speed not exceed 2 rad/s at any time. The door can be opened a maximum of 0 =120°. 0.4 m M 1.2 marrow_forwardThe system shown below is released from rest. The static and kinetic coefficients of friction between slider A and the rail are 0.8 and 0.2, respectively. Consider massless-frictionless pulleys and massless cable. Mass of slider B is 15 kg and force P= 25 Newtons is always acting on it. If the acceleration of slider B during the motion is 5 m to the right, determine the tension developed in the cable in Newtons. Consider g =10 m.arrow_forward
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY