Compute the minimum length in meters and the point of need of guiderail to shield a...
(1 point) A rod has length 5 meters. At a distance x meters from its left end, the density of the rod is given by S(x) = 1 + 3x g/m. (a) Complete the Riemann sum for the total mass of the rod (use Dx in place of Ax): mass = (b) Convert the Riemann sum to an integral and find the exact mass. OPP mass = (include units)
15. A point charge Q--400 nC and two unknown point charges, 41 and ?2, are placed as shown (l point) Point charge q1 is located 1.3 meters along the +x-axis, point charge q, s located 0.7 meters down the -y-axis, and point charge Ois located 2.0 meters from the origin at an angle of 30° above the x-axis. At the origin, the three charges together create an electric field that has magnitude zero. What is the charge 91? 30° 0...
minimum of 3 significsnt figures please A thin rectangular plate is 6 meters long and 0.8 meter wide. The plate is submerged (both sides) and held stationary in a stream of water (T = 10°C) that has a velocity of 0.5 meters/second. a) (5%) What is the boundary layer thickness at a distance x = 0.5m downstream of the leading edge? b) (5%) What is the shear stress on the plate at the same point? c) (10%) What is the...
(1 point) Suppose a pendulum with length L (meters) has angle 0 (radians) from the vertical. It can be shown that 0 as a function of time satisfies the differential equation: d20 + -sin 0 = 0 dt2 L where g = 9.8 m/sec/sec is the acceleration due to gravity. For small values of 0 we can use the approximation sin(0) ~ 0, and with that substitution, the differential equation becomes linear A. Determine the equation of motion of a...
show all steps please (1 point) Suppose a pendulum with length L (meters) has angle 0 (radians) from the vertical. It can be shown that 0 as a function of time satisfies the differential equation: d20 +sin0 0 dt2 where g 9.8 m/sec/sec is the acceleration due to gravity. For small values of 0 we can use the approximation sin(0)~0, and with that substitution, the differential equation becomes linear. A. Determine the equation of motion of a pendulum with length...
We Part (a) [2 marks] The angular displacement of the rigid body ranges from θ = 0° (the vertical as shown in the figure) to θ = 135° and can be modelled using simple harmonic motion. Assuming a rate of 20 [reps/min], write down an expression for angular displacement, θ [rad] as a function of time, t [s]. You may assume that the motion starts with an angular displacement of 135°. Hint: The angular displacement, θ can be expressed as...
1. A ferris wheel has a radius of 12 m. The center of the ferris wheel is 14 m above the ground. When it is rotating at full speed the ferris wheel takes 10 s to make a full turn. We can track one seat on the ferris wheel. Let’s define t = 0 to be a time when that seat is at the top of the ferris wheel while the ferris wheel is rotating at full speed. (a) Write...
I need help correcting letter; c, and d Please circle your answers PHY 121 A rock thrown from a tall building You are standing at the edge of a tall building yo meters above the ground. You throw a rock vertically upward with an initial speed of vo m/s. On the downward path the rock will fall all the way to the ground. Use g 10 m/sec. у,-150 v- 35 a) How long will t tke for the rock to...
We wish to determine the moment at the shoulder that is required to perform the arm motion (shoulder abduction) depicted in Figure 3 below. This motion may be modelled with a simple, single- element linkage system as shown in the figure. The shoulder joint is represented by a simple pin support centred at O. The arm and the carried weight are represented as a rigid body consisting of a rod and a cuboid. In the rigid body model, the length...
A right triangle has hypotenuse 13 cm and one side 7 cm. Find the length of the other side, and the sine, cosine and tangent of each of the other two angles. A man running 4 m/s is passed by a car at 20 m/s, both heading East. What is the velocity of the man relative to the car? How far apart are the 20 seconds after the car passes the man? A ball is thrown vertically upwards from the...