An experimental vehicle A travels with constant speed v relative to the earth along a north–south track. Determine the Coriolis acceleration aCor as a function of the latitude θ. Assume an earth-fixed rotating frame Bxyz and a spherical earth. If the vehicle speed is v = 500 km/h , determine the magnitude of the Coriolis acceleration at (a) the equator and (b) the north pole.

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A: Given data: V14s=0.13i+2.6j m/sV14.09s=-0.06i+2.5j m/s Need to determine the acceleration of the and…

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Q: A car has a forward acceleration a = 7 m/s² without slipping its d = 600 mm diameter tyres. When a…

A: Given:- a= 7 m/s2 d = 600mm r = 300 mm=0.3m To find:- Velocity of the car, v

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Q: A car is traveling around a circular track of 810-ft radius. If the magnitude of its total…

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Q: A vehicle rounds a circular track of a radius of 40 ft. If the tangential velocity of the vehicle is…

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Q: roblem 2/ Particle P moves along the curved path shown. At the instant represented, r = 2.0 m, e =…

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Q: Determine the constraint equation which relates the accelerations of bodies A and B. Assume that the…

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Q: In the system presented, the tractor A is used to hoist bale B with the pulley mechanism. If A has a…

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Q: If the roller coaster starts from rest at A and its speed increases at at = (6 − 0.06s) m/s2…

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Q: *12–216. If block B is moving down with a velocity vg and has an acceleration ag, determine the…

A: Given data To determine the velocity and acceleration of block A interms of the above parameters

Q: Car A is traveling at the constant speed of 68 km/h as it rounds the circular curve of 275-m radius…

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Q: To test its performance, an automobile is driven around a circular test track of diameter d.…

A: For solving this problem, we have used centripetal acceleration formula and put values in it. For…

Q: The belt-driven pulley and attached disk are rotating with increasing angular velocity. At a certain…

A: Given data as per the question speed of the belt =1.2 m/s Total acceleration at point A = 39 m/s2

Q: Q.4: The automobile has a speed of 80 at point A and an acceleration a having a magnitude of, acting…

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Q: A test car starts from rest on a horizontal circular track of 100-m radius and increases its speed…

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Q: 2/59 At time t = 10 s, the velocity of a particle moving in the x-y plane is v= 0.1i + 2j m/s. By…

A: Given data: t1=10 su=0.1i+2j m/st2=10.1 sv=-0.1i+1.8j m/s Need to determine the average acceleration…

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Q: The ball travels at a constant speed of 1.1 m/s along the grooved horizontal slot located at h=0.43m…

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Q: The car travels at a constant speed from the bottom A of the dip to the top B of the hump. If the…

A: car is travelling at constant speed  vA =VA= v same speed at top B and A point radius of…

Q: The sphere P travels in a straight line with a constant speed v = 15.0 m/s. For the instant…

A: Given that the sphere travels with constant speed of, v=15 m/s At the instant given,…

Q: g deck down along a cylindrical spiral ramp at a constant speed of v=1.5 m/s. If the ramp descends…

A: θ = tan-1 122 ×% 10    = 10.81∘ V = 1.6 m/s  Vr = 0

Q: 1. A platform is rotating about the vertical axis such that at any instant its angular position is 0…

A: Position is r=0.1t3=0.11.53=0.3375 m By differentiating the above relation θ˙=dθ˙dt=6t12 rad/s By…

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Q: Problem 2: A robot arm moves so that P travels in a circle about point B, which is not moving.…

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Q: In the position shown, the slotted plate B is rotating about pin A with the angular velocity w = 3…

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Q: /184 For the instant represented, car A is rounding the circular curve at a constant speed of 30…

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Q: The sprinter begins from rest at position A and accelerates along the track. If the stationary…

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Q: 04a. A toy train is going around a circular track with a speed of 1.82 m/s. If the centripetal…

A: We’ll answer the first question number (4 a and 4 b) since the exact one wasn’t specified. Please…

Q: Point X moves in a circular path of 6-m radius so that its arc distance from an initial position Y…

A: Answer: The normal component of acceleration of the point is 32.667 m/s2.

Q: The drag racer P starts from rest at the start line S and then accelerates along the track. When it…

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Q: For the instant represented, car A is rounding the circular curve at a constant speed of 30 mi/h,…

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Q: The car A is ascending a parking-garage ramp in the form of a cylindrical helix of 24-ft radius…

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Q: The car A has a forward speed of 24 km/h and is accelerating at 3.8 m/s?. Determine the velocity and…

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Q: The boom OAB pivots about point O, while section AB simultaneously extends from within section OA.…

A: Given data: θ = 16 degθ˙ = 2 deg/sec = 0.0349 rad/sθ¨ = 7 deg/sec^2 = 0.122 rad/s2 l = 11 ft,l˙ =…

Q: The air transport B is flying witha constant speed of 400 mi/hr in a horizontal arc of 7.4-mi…

A: Write the expression of vector velocity of A.

Q: The sphere P travels in a straight line with speed v = the instant depicted, determine the…

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Q: To anticipate the dip and hump in the road, the driver of a car applies her brakes to produce a…

A: The data given is, Velocity at A, vA=100 km/hr=27.78 m/s Velocity at C, vC=50 km/hr=13.89 m/s Total…

Q: PROBLEM 2: RELATIVE MOTION At the instant shown, object A is travelling along the circular path and…

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Q: Car A is traveling at the constant speed of 60 km/h as it rounds the circular curve of 225-m radius…

A: Solution:- Free body diagram

Q: At the instant shown, object A's speed is vA = 5.9 m/s, and it is increasing at 1.2 m/s2; object B's…

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Q: The drag racer P starts from rest at the start line S and then accelerates along the track. When it…

A: Given that: When the racer traveled 120 m, speed is 40 m/s and acceleration is 11.4 m/s2 It is…

Q: A particle has such a curvilinear motion that its x-coordinate is defined by x= 5t³ – 105t where x…

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Q: r=[1.5"(1-cos(0.50))] (m) e(t) The slotted link is pinned at O and has an angular rotation of…

A: Given Data⇒Angular rotation θt=0.2πtr=1.51-cos0.5θt=2sProblem definition⇒Problem says estimate the…

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Q: The particle P starts from rest at point A at time t = 0 and changes its speed thereafter at a…

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Q: The sphere P travels in a straight line with speed v= 15.1 m/s. For the instant depicted, determine…

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Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.