When the 0.03-kg body is in the position shown, the linear spring is stretched 13 mm....
When the 0.1-kg body is in the position shown, the torsional
spring at O is pretensioned so as to exert a 0.97 N·m
clockwise moment on the body. Determine the force P
required to break contact at C. Complete solutions for (a)
including the effect of the weight and (b) neglecting the
weight.
P55 mm 55 mm- 80 mm
A 1.5 kg body oscillates in SHM on a spring that, when extended 2.3 mm from its equilibrium position, has an 8.1 N restoring force. What are (a) the angular frequency of oscillation, (b) the period of oscillation, and (c) the capacitance of an LC circuit with the same period if L is 7.6 H?
QUESTION 3 In Figure Q3, spring BC remains in the horizontal position at all times due to the roller at C. If spring BC is unstretched with 0 0° and the bell crank achieves its equilibrium position when e 15°, answer the following (a) Draw the free body diagram (3 marks) (a) Determine the force F applied perpendicular to segment AD if the spring is stretched for 5 cm (3 marks) (b) Solve for the support reactions at pin A...
SPRING +0000000 x=0 +AX 6.5 When a spring is stretched or compressed from its equilibrium position by an amount Ar it exerts a force given by F =-kar. The - sign indicates that this force is in the opposite direction of Ar and is oriented to restore the spring to its e k is a proportionality constant called the spring constant or the force constant and is related to the stiffness of the spring. A. Draw a force vs displacement...
A vertical elastic cord is stretched 0.306 m when a mass 1.66 kg is attached to it. The cord is then stretched an additional 0.114 m and released from rest. Assuming the cord is an ideal linear spring, how long does it take for the mass to reach its original equilibrium position? HINTS: First find the elastic constant of the elastic cord, using the fact that the gravitational weight mg of the mass is balanced by the upward pull of...
1 m Mm F Sl. In the mechanism shown the circular body with the mass moment of inertia I about 0. i.e. the center of gravity of the body, rotates about O. The T shaped body with the mass m is attached to that circular k body through the joint A such that OA = r. and it translates along the horizontal direction. The linear spring with stiffness k is placed between the T shaped body and the ground such...
Chapter 3, Problem 3/079 The spring of modulusk - 600 N/m is stretched a distance d = 44 mm when the mechanism is in the position shown. (a) Calculate the force Pmin required to initiate rotation about the hinge axis BC, and determine the corresponding magnitudes of the bearing forces which are perpendicular to 8C (b) What is the normal reaction force at Dif PP/2? 88 mm 42 mm 136 mm * = 600 N/m 45 mm 150 mm 42...
Chapter 31, Problem 006 A 2.3 kg body oscillates in SHM on a spring that, when extended 2.4 mm from its equilibrium position, has an 10 N restoring force. What are (a) the angular frequency of oscillation, (b) the period of oscillation, and (c) the capacitance of an LC circuit with the same period if L is 7.1 H? (a) Number (b) Number (c) Number Units Units Units
The rigid body shown below rotates around a fixed axis at O and position angle 0= 0 when the body is in static equilibrium. Force f(t) is applied to the body as shown below. The mass of the body is 12 kg and O is the center of mass. k=1000 N/m_for the spring. Mass moment of inertia I and damping constant c are to be determined. The plot below shows the response 0(t) when f(t) = 60 N is a...
If the spring OB has been
stretched 45 mm and has a k = 1.0 kN/m, determine the tension in
(a) rope OA, (b) rope OC, and (c) rope OD needed to hold the mass
of 22.94 kg. Note: Rope OD is in the x-y plane. (Hint: Fsp =
k(Δx))
If the spring OB has been stretched 45 mm and has a k = 1.0 kN/m, determine the tension in (a) rope OA, (b) rope OC, 2. and (c) rope...