A small particle is given an initial velocity u, tangent to the horizontal smooth hemisphere at a radius R from the vertical centreline, as shown at point A in the following figure. As the particle slides past point B, a distance h below A and a distance r from the vertical centreline, its velocity v makes an angle 0 with the horizontal tangent to the hemisphere through B. Show that, 1 0 = cos 2gh h2 1+ R2

Q: 7. in Gi Find the that outside the area Wies of the region inside r= 3 sinQ and r= 1 + sin e

A: As per bartleby answering guidelines we have to do first question

Q: The equation 2– 2x + 2y - 4y = -1 is Select one: O an ellipse with center (1, 1) and foci (2, 1),…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: The figure shows a pendulum with length L that makes a maximum angle θ0 with the vertical. Using…

A:

Q: A robot arm joint moves in an elliptical path (horizontal major axis 8.0 cm, minor axis dy 4.0 cm,…

A:

Q: Alex is measuring the time-averaged velocity components in a pump using a laser Doppler velocimeter…

A: In this solution, we consider the problem of transforming data from polar coordinates (r, θ) to…

Q: The small spheres are free to move on the inner surface of the rotating spherical chambers with…

A:

Q: The figure shows a device that can be used to measure the speed of a bullet. The device consists of…

A:

Q: find the speed at the given value of t. r(t) = (sin 3t, cos 4t, cos 5t), t =

A: Given: rt=sin3t, cos4t, cos5t To find the speed at the given value of t=π2. Solution: Speed is the…

Q: The slope of the tangent to the curve r = 3 sin 40 at 0 = 0 is %3D Şelect one: O a. -1 3D1 O b. 0 C.…

A:

Q: The figure below shows a pendulum with length L that makes a maximum angle with the vertical. +…

A:

Q: A bullet is fired from the ground at an angle of 60◦ above the horizontal.What initial speed v0 must…

A: given: A bullet is fired from the ground at an angle of 60◦ above the horizontal. What initial speed…

Q: A curve is given parametrically by the equations x = 3t - 2 sint and y = 1² + t cos t Find the exact…

A:

Q: The motion of a vibrating particle is defined by the position vector r = (4 sin nti – (cos 2ntj,…

A:

Q: (Figure 1)A bob of mass m = 0.250 kg is suspended from a fixed point with a massless string of…

A:

Q: The path of a projectile is modeled by the parametric equations x = (90cos(60°)) and y= (90sin(60°))…

A: The path of projectile described by the curveTo find the arc length of the projectile.We use the…

Q: 4. Find the slope of the curve r = cos 20 at the origin 5. A particle moves along a path whose…

A:

Q: At the instant shown, the arm OA of the conveyor belt is rotating about the z axis with a constant…

A: The objective of this question is to determine the velocity and acceleration of the package P at the…

Q: The function f(x) = |ax - b| + c|x| : x in (-∞, ol where Find the

A:

Q: A particle moves along a line so that at time t, its position is a. When does the particle change…

A:

Q: Assume that I is a linear transformation. Find the standard matrix of 1. 7x T: R²→R² first rotates…

A: The given transformation T:ℝ2→ℝ2 First rotates through -7π4radians. then reflects points through…

Q: The height of a chair on a Ferris wheel is given by h 5.7 sin (0. 21t – 1.58) +7.9 - where h is the…

A:

Q: As illustrated in the accompanying figure, suppose that a rod with one end fixed at the pole of a…

A: A rod with one end fixed at the pole of a polar coordinate system rotates counterclockwise at the…