L₁ Rigid bar (1) Base E k D FIGURE P5.11

Section 1.5 Problem 1. Mark each statement True or False, and justify your answer. (T/F) A homogeneous equation is always consistent. (T/F) If x is a nontrivial solution of Ax=0, then every entry in x is nonzero. (T/F) The equation Ax=0 gives an explicit description of its solution set. (T/F) The equation x = xu+xiv, with xa and xx free (and neither u nor va multiple of the other), describes a plane through the origin. (T/F) The homogeneous equation Ax=0 has the trivial solution if and only if the equation has at least one free variable. (T/F) The equation Ax=b is homogeneous if the zero vector is a solution. (T/F) The equation x = p + tv describes a line through v parallel to p. (T/F) The effect of adding p to a vector is to move the vector in a direction parallel to p.

A person is 1.65 m tall. a. Calculate the difference in blood pressure between the feet and top of the head of this person. To make sense of your answer, convert your answer to the unit of atm (101325 Pa = 1 atm). The density of blood is Pblood = 1.06 × 10³ kg/m³. b. Consider a cylindrical segment of a blood vessel 2.00 cm long and 1.50 mm in diameter. What additional outward force would such a vessel need to withstand in the person's feet compared to a similar vessel in her head? c. Justify how you solved for the area of the blood vessel.

I'm wondering how z2 was derived. I've highlited where I am getting confused. Shouldn't the derivative of z2 should only be equal to x2; where, z2 = 0.5x^2/2. I don't understand how z2 = x2 multiplied by the derivative of x2.

igure 2. Assume that the rod is massless, perfectly rigid, and pivoted at point P. When the rod is perfectly horizontal, the angle 0 = 0, the displacement y 0, and the springs are in neither tension nor compression. Gravity acts on the system (e.g. on mass M). We assume that y is a small displacement. A mass M is attached at the end of the rod. DE only 225 Your tasks: X k 0 3k a F a M y A Derive an equation of motion for the system in terms of the angular displacement 0, and its derivatives (you should not have y or its derivatives in this equation.) B Derive an equation of motion for the system in terms of the displacement y, and its derivatives (you should not have or its derivatives in this equation. C Assuming there is no external actuator force F acting on the system, write down the total energy H of the system in terms of 0,0 and element constants. Derive an expression for the time derivative H of the total energy. D Transform the equation from part B, which is in y, to another…

A long, thin, wire of uniform cross-section has Young's Modulus Y and mass density D. When laid horizontally on a bench its unstretched length is L. One end is attached to a fixed point and the rest of the wire is allowed to hang freely and vertically in the earth's gravitational field. Find the extension of the lowest end of the wire (i.e., the wire's length additional to L) due to gravitational force. The acceleration due to gravity is g.

with fbd please

A beam held by a hinge, take 2. The left end of a beam of mass 17.9 kg and length L is fixed to a wall by a hinge. The beam is inclined at 19.8 degrees from the horizontal; it is supported at its right end by a rope forming an angle of 30.3 kg with the horizontal.create a template for:a) the tension in the rope;b) the orientation of the hinge force, relative to the x+ axis.

Here are these questions if I could get help with themIf a spherical storage tank holds 40,000 gallons (120,000 liters) of water,what diameter must it have?If a cylindrical storage tank has a 40-foot (12 m) diameter circular 05::=how high must it be to hold 1 million gallons (3 million liters)?If water is moving at a rate of 3.2 ft3/sec (90,000 cc/sec), how manygallons (liters) per minute is this?If the specific gravity of gold is 19.0. what is the weight of a cubic inch(cubic centimeter) of gold? A cubic foot (cubic meter)?

Q2/ In the nucleus pulposus of an intervertebral disc, the compressive load is 1.5 times the externally applied load. In the annulus fibrosus, the compressive force is 0.5 times the external load. What are the compressive loads on the nucleus pulposus and annulus fibrosus of the L5-S1 intervertebral disc of a 90 kg man holding a 50 kg weight bar across his shoulders, given that 63% of body weight is distributed below the disc?