E2.13 Assuming the lever in Figure E2.13 has negligible mass and remains within a small angle of the vertical position, derive the equations of motion for the displacement of the mass m due to the force f(t). f(t) ww m
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- 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…find the mass of the automobile by treating it as an undamped single-degree-of-freedom system?(Need handwritten solution only please otherwise downvote)Q2: A curved path has banked angle 12° and 30 m radius of rotation was designed for four-wheeled Trolley of total mass 2500 kg to move on track ofr 1 m gauge at 35 km/hr. For this vehicle all wheels have an external diameter of 0.5 m and each pair of axle weight is 1800 N and radius of gyration of 0.2 m. The center of gravity is located 1 m above the groun level. Within this mechanism, determine the limited pressure on each rail.
- H.W3/3.6/Page(92) As shown, a mouse can use the mechanical advantage provided by a hydraulic machine to lift up an elephant. a. Derive an algebraic equation that gives the mechanical advantage of the hydraulic machine shown. Assume the pistons are frictionless and massless. b. A mouse can have a mass of 25 g and an elephant a mass of 7500 kg. Determine a value of D1 and D2 so that the mouse can support the elephant. Elephant with mass m2 Mouse with mass m Piston (2 places) Hydraulic fluid D2Prelab Exercises for Angular Motion 1. Draw a free-body diagram for mass M, while in motion (Fig. 2a). Identify the centripetal force. Assume the mass hangs vertically. 2. Calculate the magnitude of the force exerted by the spring on mass M = 425 g, moving in a circle of radius r = 19 cm, as shown in Fig. 2a. The mass makes 20 revolutions in 17 seconds. Determine the mass m, suspended over the pulley (Fig. 2b), which stretches the spring by the same amount as during the rotation. counter mass class fmm (J 14 Fig. 2a Rotating Fig. 2b Stationary Figure 5.1: Angular Momentum Apparatus. On the left, Fig. 2a shows the rotating setup and on the right, Fig. 2b is a schematic of the stationary setup. pinA 30kg mass is tied to a uniform rod whose mass and length are 80-kg and 8-m, as shown below. The rod is attached to the floor via a hinge and makes an angle of 70° relative to the ground; a massless string is also attached to the rod at the ¼ point of the rod and makes an angle of 20° relative to the horizontal. What tension must be provided by the rope so that the system remains in stationary? If at some point the string breaks, what will be the angular acceleration of the system the instant that the string breaks?
- 3. The tasty fish pictured above has a mass of 1100 kg and is hanging from a cable attached via a 4 m long, 600 kg beam that can pivot at its base to a 6 m tall pole. The center of mass of the beam is at a point 1/3 of the way between its base and end. Find the tension in the cable between the beam and the pole.A bored student builds a levitating lantern using objects they 3D printed in the Fischer Engineering Design Center. The student connects the blue and green pieces with two strings at points A and B, as shown below. If the blue (top) object weighs 181 g and the tension in string A is 3.2 N, what is the distance from the left side of the object to its center of mass in cm? Assume the system is in static equilibrium.Figure(a) depicts a head-on view of a 1000 kg mass private airplane flying in a state of equilibrium. The force labeled P represents the lift force acting on each wing, and W represents the gravitational weight of the craft. Fig. (b) depicts a more detailed view of the wing ABCD showing its physical dimensions and the assumed location of the lift force P. The wing has a mass of 200 kg and a center of gravity at point B. The wing is attached to the fuselage at point A, which can be modeled as a pin connection. The wing is supported by a pin-connected strut BE whose mass may be neglected. (a) Sketch a free-body diagram of the forces acting on the wing depicted in Fig (b). Compute the vertical lift force P. (c) Compute the forces supported by the strut BE and the pin at A. Hint: You may model the wing as a two-dimensional structure where all forces lie in the same plane. (a) P XERO y W (b) 1.4 m + 2 m B с 0.6m 2.4m D
- Q2: A curved path has banked angle 12° and 30 m radius of rotation was designed for four-wheeled Trolley of total mass 2500 kg to move on track of I m gauge at 35 km/hr. For this vehicle all wheels have an external diameter of 0.5 m and each pair of axle weight is 1800 N and radius of gyration of 0.2 m. The center of gravity is located 1 m above the groun level. Within this mechanism, determine the limited pressure on each rail.2. Four masses m1, m2, m3 and m4 are 200 kg, 300 kg, 240 kg and 260 kg respectively. The corresponding radii of rotation are 0.2 m, 0.15 m, 0.25 m and 0.3 m respectively and the angles between successive masses are 45°, 75° and 135°. Find the position and magnitude of the balance mass required, if its radius of rotation is 0.2 m.3.32). As shown in Figure 3, a yo-yo toy is formed by wrapping a massless cord around adisk of radius R= 0.2 m and mass M=3 kg. The cord is vertical and its top end is fixed and the disk isinitially stationary. The cord remains vertical for the entire motion and does not slide on the disk.When the disk is released from rest, it falls down by a distance H=0.8 m, The moment of inertia ofthe disk around its center is I disk=1/2mdiskR^2a . Find the angular acceleration of the disk when it is lowered by a distance H.b . Find the angular velocity of the disk when it is lowered by a distance H.