Concept explainers
A spring AB is attached to a support at A and to a collar. The unstretched length of the spring is l. knowing that the collar is released from rest at
Want to see the full answer?
Check out a sample textbook solutionChapter 11 Solutions
Vector Mechanics For Engineers
- 1. A chain of blocks is moving upward at 3 m/s. The tension in the cable connected to the top of the chain is To = 800 N. a. What is the acceleration of the chain of blocks? b. What is the tension in the cable connecting Block C and Block D? v = 3 m/s To = 800 N mA = 21 kg mB = 25 kg mc = 20 kg mp = 18 kg mg = 17 kg mp = 15 kg a = ? TCD = ?arrow_forward3. An automobile moving at a constant velocity of 45 ft per sec passes a gasoline station. Two seconds later, another automobile leaves the gasoline station and accelerates at the constant rate of 6 ft per sec?. How soon will the second auto mobile overtake the first?arrow_forward2. A train moving with constant acceleration travels 24 ft during the 10th sec of its motion and 19 ft during the 12th sec of its motion. Find its initial velocity and its constant acceleration.arrow_forward
- 2. The horizontal rod OA rotates about a vertical shaft according to the relation 6 = 3t°, where 0 and t are expressed in rad/s and seconds, respectively. A 500 g collar B is held by a cord with a breaking strength of 37 N. Neglecting friction, determine, immediately after the cord breaks: a. How long it takes for the cord to break b. The relative acceleration of the collar with respect to the rod. c. The magnitude of the horizontal force exerted on the collar by the rod. Note: the horizontal force corresponds to ég direction d. When the collar breaks free from its initial position of 0.5 m and hits the stop at A which is 0.62 m from point O, calculate the angular velocity [rad/s] at this state. *Use initial angular velocity from when cord broke in order to solve for final angular velocity using conversation of angular momentum. 0.5 marrow_forwardTwo masses m₁ = 4.6kg and m2 = 10.5kg are attached to the ends of a massless string passing through a massless pulley as shown in the figure below. If the system is released from rest, determine the magnitude of the acceleration of the blocks. Take g = 9.81m/s² and express your answer using one decimal place in units of m/s². u Answer: |M₂arrow_forwardEXERCISE 2.53 Collar C is pushed along the guide bar defined by y= 2(1-0.25x²), where x and y have units of meters. The angular speed of arm AB that actuates the motion is the constant value = 20 rad/s, so = ct. Determine the forces exerted on the collar by arm AB and the guide bar at x = 1 m. The mass of the collar is 2 kg, and gravitational effects are ignorable. (Hint: use Cartesian and polar coordinates to solve the problem.)arrow_forward
- A motorcycle starts from rest at t=0 and moves along a circular track with a radius of 400 m. The tangential component of its acceleration is at= 2 m/s2. When the magnitude of its total acceleration reaches 5 m/s2, friction can no longer keep the motorcycle on the circular track, and it spins out. Can the motorcycle complete one quarter of a lap of the track before it spins out? Justify your answer with relevant calculations.arrow_forwardASAParrow_forward1. A chain of blocks is moving upward at 3 m/s. The tension in the cable connected to the top of the chain is T, = 800 N. a. What is the acceleration of the chain of blocks? b. What is the tension in the cable connecting Block C and Block D? v = 3 m/s ↓ g To = 800 N mA = 21 kg mB = 25 kg mc = 20 kg mp = 18 kg ME = 17 kg mF = 15 kg a = ? TCD = ?arrow_forward
- Problem (2) A turntable is used to test an intentionally weak adhesive by coating the bottom of a 0.3 kg block with the adhesive and pressing it firmly to the turntable 0.4 meters from its center. The turntable starts from rest at t = 0 and uniformly accelerates with an angular acceleration of a = 4.5 rad/s?. If the adhesive fails exactly 2 seconds after the turntable starts rotating determine: (a) The angular displacement of the turntable at the time of failure. (b) The number of revolutions the turntable has made at the time of failure. (c) The total shear force which the adhesive supports given this failure. 0.4 marrow_forwardThree identical springs (X, Y, Z) are arranged as shown. When a 4.0 kg mass is hung on X, the mass descends 3.0 cm. When a 6.0 kg mass is hung on Y, the mass descends: O 1.2.0 cm O 2.4.0 cm O 3.4.5 cm O 4.6.0 cm O 5.9.0 cmarrow_forwardA 100-kg box is towed to move horizontally from rest by a constant force P=200 N. The kinetic friction is μk =0.1. The angle of the force P is θ=30° with respect to the horizontal direction. The acceleration due to gravity is g=9.81 m/s2. (2) Select the motion of equation along the vertical direction, where F is the friction force, N is the normal force from the ground, and a is the acceleration.___________ A. Psin30°-mg+N=ma B. Psin30°-mg+N=0 C. Pcos30°-mg+N=ma D. Pcos30°-mg+N=0arrow_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