Find the tension in each cord in Figure if the weight ofthe suspended object is w. a) 02510500791.png b) 02510500792.png

A 0.50 kg ball that is tied to the end of a 1.1 m light cord is revolved in a horizontal planewith the cord making a ${\displaystyle {30}^{\circ }}$ angle, with the vertical.

a) Determine the ball speed.
b) If, instead, the ball is revolved so that its speed is 4.0 m/s,what angle does the cord make with the vertical?
c) If the cord can withstand a maximum tension of 9.1 N, what is the highest speed at which the ballcan move?

A pair of forces with equal magnitudes, opposite directions,and different lines of action is called a "couple". When acouple acts on a rigid object, the couple produces a torque thatdoes not depend on the location of the axis. The drawing shows acouple acting on a tire wrench, each force being perpendicular tothe wrench. Determine an expression for the torque produced by thecouple when the axis is perpendicular to the tired and passesthrough (a) point A, (b) point B, and (c) point C. Express youranswers in terms of the magnitude F of the force and the length Lof the wrench

A 1000 kg safe is 2.0 m above a heavy-duty spring when the rope holding the safe breaks. The safe hits the spring and compresses it 50 cm. What is the spring constant of the spring?

A 0.48 kg piece of wood floats in water but is found to sinkin alcohol (specific gravity= 0.79) in which it has an apparentmass 0.035 kg. What is the SG of the wood?

At the instant shown the length of the boom AB is beingdecreased at the constant rate of .18 m/s and the boom is beeinglowered at the constant rate of .08m/s. determine a the velocity ofpoint b, b the acceleration of point b

The oxygen equivalence number of a weld is a number that can be used to predict properties such as hardness, strength, and ductility. The article;"Advances in Oxygen Equivalence Equations for Predicting the Properties of Titanium Welds"; presents several equations for computing the oxygen equivalence number of a weld.
An equation designed to predict the strength of a weld is X = 1.12C + 2.69N + O − 0.21 Fe, where X is the oxygen equivalence, and C, N, O, and Fe are the amounts of carbon, nitrogen, oxygen, and iron, respectively, in weight percent, in the weld. Suppose that for welds of a certain type, $\mu ;C=0.0247,\mu ;N=0.0255,\mu ;o=0.1668,\mu ;Fe=0.0597,\sigma ;C=0.0131,\sigma ;N=0.0194,\sigma ;o=0.0340,and\sigma ;Fe=0.0413.$
Furthermore assume that correlations are given by $\rho ;C,N=min;0.44,\rho ;C,O=0.58,\rho ;C,Fe=0.39,\rho ;N,O=min;0.32,\rho ;N,Fe=0.09,and\rho ;O.Fe=min;0.35.$
a. Find $\mu ;x$.
b. Find Cov(C, N), Cov(C, O), Cov(C, Fe), Cov(N, O), Cov(N, Fe), and Cov(O, Fe).
c. Find $\sigma ;X$.​ .

The coefficient of linear expansion of copper is $17\times 10-6K-1$. A sheet of copper has a round hole with a radius of 3.0 m cut out of it. If the sheet is heated and undergoes a change in temperature of 80 K, what is the change in the radius of the hole? It decreases by 4.1 mm. It increases by 4.1 mm. It decreases by 8.2 mm. It increases by 8.2 mm. It does not change.