Question Question 50: Belt Friction 1 The belt wraps turn around the rod. The coefficient of static friction between the rod 4 and the belt is , =0.5. 50. Determine the smallest magnitude of P that will hold the mass in equilibrium. a 11.4 N b 112N 538N d 1.76 KN X 25 kg

4. A rectangular coil consists of \( N=100 \) closely wrapped turns and has dimensions \( a= \) \( 0.400 \mathrm{~m} \) and \( b=0.300 \mathrm{~m} \). The coil is hinged along the \( y \) axis, and its plane makes an angle \( \theta=30.0^{\circ} \) with the \( x \) axis (Fig. P29.23). What is the magnitude of the torque exerted on the coil by a uniform 4. A rectangular coil consists of N=100 closely wrapped turns and has dimensions a= 0.400 m and b=0.300 m. The coil is hinged along the y axis, and its plane makes an angle θ=30.0∘ with the x axis (Fig. P29.23). What is the magnitude of the torque exerted on the coil by a uniform magnetic field B=0.800 T directed along the x axis when the current is I=1.20 A in the direction shown? What is the expected direction of rotation of the coil? Magnetic fields

(1 point) Determine the average rate of change of the following function between the given values of the variable: f(x) = x4 - - X; x = -2, x = 3 Average rate of change = .

Question Suppose three point masses are placed in the xy-plane as follows (assume coordinates are given in meters): mi = 5 kg, placed at (-2, -3) m2 = 3 kg, placed at (2,3) 'm3 = 2 kg, placed at (-3, -2) Find the center of mass of the system. Write your answer as an ordered pair Provide your answer below:

let f(x)= x^2-5, g(x)= 2x^3+x and p(x)= f(x)g(x). a) computedp/dx b) compute f'(x)g'(x)

Suppose that a company is developing a new touch-screen cell phone. Historically, 70% of their new phones have resulted in high consumer demand, whereas 30% have resulted in low consumer demand. The company has the decision of choosing between two models with different features that require different amount of investment and have different sales potential. Estimated profit/loss are shown in the payoff table below. State of Nature High demand, ($) Low demand, ($) Model 1 300,000 -40,000 Model 2 275,000 -15000 Now suppose the firm conducts a market research study to obtain sample information and better understand the nature of consumer demand. The market research cost $10,000 Analysis of past market research studies, conducted prior to introducing similar products, has found that the survey response will be either high or low. There is a 69% chance that the survey will return a high survey response (results) and there is a 31% chance that the survey will result in lo-demand response (results). The relevant conditional probabilities are as follows: P (high consumer demand, high survey response = 0.913) P (low consumer demand, low survey response = 0.087) P (high consumer demand, high survey response = 0.226) P (low consumer demand, low survey response = 0.774) Calculate the expected value of sample information (EVSI). Develop a decision tree and analyze using QM for Windows. Determine the optimal solution.

2.31 Let R be the region bounded above by the graph of the function f(x) = ?? and below by the x-axis over the interval (0,2] . Find the centroid of the region. 2.32 Let R be the region bounded above by the graph of the function f(x) = 6 - 2² and below by the graph of the function g(x) = 3 - 2x. Find the centroid of the region. 2.33 Let R be the region bounded above by the graph of the function f(x) = 1-2 and below by r -axis. Find the centroid of the region.