In the figure, two blocks hang at rest from a spring and rope attached to the ceiling. On the left, the spring (with force constant k) that is fastened to the ceiling makes an angle A relative to the horizontal, while the on the right the rope makes an angle of B relative to the vertical. The rope between the two knots is perfectly horizontal. Mass m, is unknown while mass m2 is known. Solve all parts symbolically in terms of the known mass, m2, the angles A and B, the spring constant k, plus other known constants. (a) Draw all force diagrams. (b) Find all forces and tensions. (c) Find the unknown mass m1.

In the figure, two blocks hang at rest from a spring and rope attached to the ceiling. On the left, the spring (with force constant k) that is fastened to the ceiling makes an angle A relative to the horizontal, while the on the right the rope makes an angle of B relative to the vertical. The rope between the two knots is perfectly horizontal. Mass m, is unknown while mass m2 is known. Solve all parts symbolically in terms of the known mass, m2, the angles A and B, the spring constant k, plus other known constants. (a) Draw all force diagrams. (b) Find all forces and tensions. (c) Find the unknown mass m1.

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter4: Coplanar Equilibrium Analysis

Section: Chapter Questions

Problem 4.129P: The uniform 240-lb bar AB is held in the position shown by the cable AC. Compute the tension in the...

See similar textbooks

Similar questions

Draw the FBD for the bar described in Prob. 5.1 if the bar is homogeneous of mass 50 kg. Count the unknowns.
What is the ratio L/R for which the uniform wire figure can be balanced in the position shown?
Given: Member OC rotates about the pin at point O when the force T' is applied. Spring AB is unstretched when OC is vertical. The spring constant for spring AB is k = 80 lb/in. Find: the magnitude of force T that is required to hold the position shown. 10 in 45° 5 in B k = 80 lb/in 5 in 30⁰
1. In lecture I focused on a horizontal mass-spring system so we could ignore gravity, but in practice it's much easier to build a vertical mass-spring system. In the figure below, we can see a suspended spring with spring constant k both before and after a mass m is hooked to it. Y Yo yo is the equilibrium height of the spring (without the mass) and in the figure y = 0 is set at the ground. a) Using the coordinate system in the figure, show that Newton's second law for the hanging mass-spring system leads to the following differential equation: d²y dt² k (y - Yo) - g m b) Now define a new coordinate, y', related to y by a constant shift: y = y' + C, where C = constant. Show that if you choose the right value of C, Newton's second law is identical in form to a mass-spring system without gravity. What is the period of the system? c) Effectively, gravity just shifts the equilibrium position of the system, but the system still undergoes simple harmonic motion. What is the net force on the…
Three masses K, L and M of magnitudes 20 kg, 18 kg and 16 kg are attached rigidly to the shaft. The masses are rotating in the same plane. The corresponding radii of rotation are 160 mm, 190 mm and 130 mm respectively. The angle made by the mass K with horizontal is 50° and the angles between masses K to L 90° and L to M 170° respectively. Find the magnitude of the balancing mass if its .radius of rotation is 200 mm
2. The 6-kg frame AC and 4-kg uniform slender bar AB of length / is free to slide along a smooth fixed horizontal rod. a. Find the tension in the wire BC for a static case where the frame and bar are stationary. b. Now, with the the 80 N force applied find the tension in the wire BC. 60° to Q B 60° -80 N -x
1. The PASCO human arm model is configured such that the cord representing the bicep is perfectly vertical and the forearm is at 90° (in the figure to the right, the cord is not quite vertical). A mass of 100 g is attached to the hand. Draw a free-body diagram on the figure to the right showing all forces which act on the forearm. The force of the bicep F on the arm The force of the humerus FH on the arm The weight of the forearm W The mass in the hand Wm 100 g Be careful to draw the force vectors with tails beginning at the point where the force is actually applied to the forearm. 2. Consider the free body diagram below. Determine the perpendicular component F̟ of the force F exerted by the biceps brachii on the forearm. Use the fact that cos 0 = H/B to write this component directly in terms of the humerus length H and the biceps length B. H 3. If the forearm is in equilibrium, then there is no angular acceleration and therefore the sum of the torques applied to the forearm must be…
The 300kn sphere is supported by a pull p and a 200kn weight passing over a frictionless pulley. If a=30°. Computer the value of p and tangent.
Three masses are attached to a uniform meter stick, as shown in figure. The mass of the meter stick is 150.0 g and the masses to the left of the fulcrum are m1 = 50 kg, m2 = 75 kg, and m3 that balances the system when it is attached at the right end of the sticky, and the normal reaction force at the fulcrum when the system is balanced. Also, find the mass m3.
Q4/ Two identical spheres of radius 8 in. and weighing 2 lb on the surface of the earth are placed in contact. Find the gravitational attraction between them. Q5/ A person weighs 30 lb on the moon, where g = 5.32 ft/s2. Determine (a) the mass of the person and (b) the weight of the person on earth. Q6/ What is the weight in newtons of an object that has a mass of (a) 9 kg, (b) 0.06 kg.
One end of a uniform 2.60m rod with a mass of 38.0kg is supported by a cable connecting one end to the wall so that the cable makes an angle of 42.0° with respect to the rod. The other end rests against the vertical wall, where it is held in place by friction so that the rod is perfectly horizontal. A sign with an unknown mass is hung from the rod 1.90m from the wall so that wall exerts a normal force of 1790N on the rod in the positive x-direction. What is the mass of the sign in kilograms?
2. Figure 2 shows a quick return mechanism. The ram at C has a mass of 50kg and is accelerating to the right at 10 m/s². In addition there is a force resisting the motion of the ram of 1500N. Determine the magnitude and direction of the forces: (a) acting between the ram and guide (b) at the pin joint B (c) (d) (e) Find the torque about O. at the pin joint Q. at the slider A. BL 45° 71° 18.5° Figure 2. Quick Return Mechanism OA = 0.075m AQ = 0.162m BQ = 0.1m BC = 0.3m