The speed of a material point is given by v = 16t² i + 4t3 j + (5t + 2) k m / s, where t is given in seconds. If the point is at the origin when t = 0, determine the position (x, y, z) of the point at time t = 3s. Choose one: a. (42.7.16, 14) B. (64, 48, 5) c. (96, 108, 5) d. (5.3, 1, 4.5) e. (144, 81, 28.5)

Q: A collar is moving on a curved bar with a constant speed of 8 m/sec as shown in the figure. When the…

A: Given: Uniform velocity V=8m/sEquation of the curve is given by,y=0.25x2

Q: 20- If it is an equation for a particular system, as follows: What are the equations of motion for…

A:

Q: Initially, a car is traveling along a straight road with a speed of 42 m/s. if the brakes are…

A:

Q: particle travels along a straight line with a velocity v = (12 – 3t^2) m/s, where t is in seconds.…

A:

Q: PROVE THAT THE | Wturbine,out = (h5 – h6) + (1 – y) × (h6 – h7) 6 7

A: Rankine cycle: In a simple Rankine cycle, heat is added to the cycle during processes 2-3. During…

Q: 1. The slotted link is pinned at 0, and as a result of the constant angular velocity é = 6 rad's it…

A:

Q: If rod CD is rotating with an angular velocity wcD. At the instant shown in the figure, which letter…

A: Point F is the correct answer.

Q: A pipe P1 450mm in diameter, branches into two pipe (2 & 3) of diameters 300mm & 200mmrespectively.…

A:

Q: Q2) The bent flat bar rotates about a fixed axis through point O. The angle can be found at any…

A:

Q: 4. 3) The hydraulic cylinder D extends, moves the rigid rod ABC, and causes the collar A to move…

A:

Q: a Determine the Velocity of Cable at Point C. Note: Block E is moving downward with a velocity of…

A: Given Data The velocity of block E in the downward direction is: 4 m/s Assume that the velocity…

Q: Exercises i give the positions s = f(1) of a body moving on a coor- dinate line, with s in meters…

A: Given, s=f(t)

Q: The acceleration, initial position and initial velocity of a particle are given in Diagram PM. What…

A: Given,

Q: The position coordinate of piston A can be shown to be related to the crank angle 0 of the flywheel…

A:

Q: 4- If position x of a particle moving along the x axis depends on the time t according to the equd x…

A: Given:x=at-bt2where,x=distance in meter=L(Dimensional unit)t=time=T(Dimensional unit)To find…

Q: Q9. The platform is rotating about the vertical axis such that at any instant its angular position…

A:

Q: 2. When a taut string is unwound from a stationary cylinder, the end B of the string generates a…

A: Given: Equation of involute: x = R*cosωt + Rωt*sinωt ;   y = R*sinωt -Rωt*cosωt Speed of B: Speed in…

Q: (a) At t = 1.7 s, v= i m/s (b) At t = 5.7 s, v= i m/s

A:

Q: If the 8 = 45°, and the bar 0Q is rotating in the counterclockwise direction at 1.4 rad/s, which of…

A:

Q: A projectile is launched at a rate of 4.4 m/s at an angle of 55 . State the projectiles position…

A: Given: Projectile motion with initial velocity u=4.4 m/s; θ=55 degrees To Find: the time till height…

Q: The movement of point P is constrained by the curved slot in OB and by the slotted bar OA. If A…

A:

Q: Q4: 2/145 The slider P can be moved inward by means of the string S, while the slotted arm rotates…

A:

Q: A field measuring 45 m X 90 m is to be prepared using a 1-m upland power tiller at a speed of 3 kph.…

A: Given:45 m X 90 mV=3 Kph10% overlapt=9 sec

Q: Find the tension of the rope T and the acceleration a, if: a) µs = 0.25 and µk = 0.20 b) µs = 0.15…

A: Consider the Free Body Diagram:

Q: The position vector of a particle moving in the x-y plane at time t = 3.60 s is 2.76i- 3.28j m. At t…

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Q: Hoop-the-Loop. A particle moves on a vertical hoop of some radius R. At point A which is at 0 =…

A:

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: Exercise3.13 The figure shows car P is taking a bend with constant velocity. Observer at O found…

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Q: 1.39 ** A ball is thrown with initial speed v, up an inclined plane. The plane is inclined at an…

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Q: A cylinder rolls without slipping between two moving plates C and D. The radius of the cylinder is…

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Q: Curvilinear Motion: Cylindrical Components 7 of 12 Three stock car drivers are racing around a…

A:

Q: H.W (4): The dimensions of the mechanism, as shown in Fig. 7.30, are as follows : AB =0.45 m; BD =…

A: Given-Data:- AB=0.45m BD=1.5m BC=CE=0.9m Noc=120r.p.m To-Find:- 1) Velocity of slider D 2) Velocity…

Q: 9 The position vector of a particle moving in the x-y plane at time t = 3.60 s is 2.76i 3.28j m. At…

A: Givent=0.360sa→=2.76i-3.28j mt=3.62sb→=2.79i-3.33j

Q: A person reached his home from the shopping center by walking in the same direction at 4 m/s for the…

A: As given for the first 60 second starting from shopping center speed of the person = 4 m/s  So the…

Q: A projectile was thrown from the airplane at A with a speed 144 km/h. The time of flight is V km/h…

A: Given,uo=144km/huo=40m/sh=500θ=45°Time of…

Q: The bar of length L rotates about an axis passing through O and point B is in the middle of the bar.…

A: Given data: Velocity at A = v If rod Length is R, then the middle point is R/2.

Q: Starting from rest at home plate, a baseball player runs to first base ( 90 ft away). He uniformly…

A:

Q: The kinematic equation of a material point motion along a straight line (x- axis) has the form x = A…

A: Write the expression of kinematic equation of motion. x=A+Bt+Ct2

Q: Q13. The collars are pin connected at B and are free to move along rod OA and the [C· (1+ cos 0)] m,…

A:

Q: The velocity of a particle moving in the x-y plane is given by (5.60i + 4.27j) m/s at time t = 6.33…

A:

Q: t what angle to the vertical must a motorcyclist lean so as to negotiate a bend with a radius of…

A:

Q: An object moves along the x-axis according to the equation x (1) =~ 3t +12t 6. where tis in seconds.…

A: Given equation  x(t)=-3t2+12t-6 time interval, 0 to 3sec  Using the v=dx/dt a=dv/dt

Q: 2/141 The slider P can be moved inward by means of the string S, while the slotted arm rotates about…

A:

Q: The velocity of a particle moving in the x-y plane is given by (4.32i + 5.97j) m/s at time t = 5.50…

A:

Q: 2/59 The position vector of a particle moving in the x-y plane at time t = 3.60 s is 2.76i 3.28j m.…

A: Givent=3.60sa→=2.76i-3.28j  mt=3.62sb→=2.79i-3.33j m

Q: A cylinder rolls without slipping between two moving plates C and D. The radius of the cylinder is…

A:

Q: Find the Variation if your True Course is 269°1 and Magnetic Course is 283°. а. 16°E b. 16°W С. 14°W…

A: True course=269o Magnetic course=283o

Q: Q1: 1.2. if gear A is started from rest with 6.366 rev/sec² along c.w. direction, find the angular…

A: Givenpart 1αA=6.366 rev/sec2 CWt=5spart 2αA=3+0.007θ2NA=250 rpm nwhen t=0θ=16rev=16×2π rad

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.