A particle of mass m travels in complete vertical circles on the end of a light inextensible string of length a.  If the maximum tension in the string is 3 times the minimum tension.  Show that the speed of the particle as it passes through the lowest point on the circle sqrt(8ag)

Q: und. If the elevator can accelerate at a,, decelerate at a, and reach a ma mine the shortest time to…

A: Given Data The heigth above the ground is:h=16 m The acceleration is:a1=0.2 m/s2 The deceleration…

Q: The motion of 4 Ib weight is moving in the horizontal plane such that r= ( 2t +1) ft, and 0 = (0.5t2…

A: M=4 lbr=2t+1θ=0.5*t2-tt=2 sec

Q: In 1.0 s, a particle goes from point A to B, moving in a semicircle of radius 1.0 m. The magnitude…

A:

Q: Q3/ A particle moving along a straight line is subjected to a deceleration a=(-V) m/s, where is V in…

A:

Q: A pool ball is shot against the wall of the pool table. Find the velocity and angle of the ball…

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Q: The driver of the truck has an acceleration of 0.36g as the truck passes over the top A of the hump…

A:

Q: The driver of a truck has an acceleration of 0.65g as the truck passes over the top of a hump in the…

A:

Q: If the car is accelerating at 15 ft/s² at the instant r = 2500 ft determine the required angular…

A: giventhe car is accelerating a=15ft/s2at instant r=2500ftboat anchored =2000ftspeed V=45ft/s

Q: A 1.28Mg car rounds a curve. At the instant shown its speed is 15 m/s, which is increasing at a…

A: Write the given data. m=1.28 Mg=1280 kgv=15 m/sa=1.5 m/s2r=200 m

Q: The driver of the truck has an acceleration of 0.4g as the truck passes over the top B of the hump…

A:

Q: The driver of the truck has an acceleration of 0.52g as the truck passes over the top A of the hump…

A: Given:a=0.52gr=104 mx=2.7 m

Q: Determine the angle 0 and the tension in the cord when the speed of the sphere is 20 ft/s The sphere…

A: tension in the cord

Q: A ball is suspended from a light 1.4 m string as shown. The string makes an angle of 28 degrees with…

A: a) apply the conservation of energy (K.E)p – mghi =KEF – mghF ½ * m (1.1)2 – mg* 1.4cos2β = ½*m*v2 –…

Q: The driver of the truck has an acceleration of 0.4g as the truck passes over the top B of the hump…

A:

Q: Determine the velocity of the ball at point A  Determine how far the ball will land from the edge…

A: assuming the velocity of ball at A is ,vA m/s applying energy conservation equation between top…

Q: Each of the motors A and B draws in the cable D. and E respectively at a constant speed of 6 m's in…

A: First, we observe the variable-length for both the ropes. Then by differentiation, we can find out…

Q: The object of the game of an arcade machine is to project the particle so that it enters through…

A: Given

Q: The driver of the truck has an acceleration of 0.34g as the truck passes over the top A of the hump…

A: Given Data

Q: The amusement park ride consists of a 200-kg car and passenger that are traveling at 4.6 m/s along a…

A: Given   Mass, m = 200 kg   Radius, r1 = 8 m               r2 = 8 - 0.5 x 4                   = 6 m…

Q: A jet transport plane flies in the trajectory shown in order to allow astronauts to experience the…

A:

Q: Include free body diagrams: The motion of a particle is defined by the relation x = t2  - (t-2)3,…

A:

Q: Q4/ Find the horizontal and vertical components of the 100-m displacement of a superhero who flies…

A: Vector is a physical quantity that has both magnitude as well as direction. Scalar is a physical…

Q: Small steel balls fall from rest through the opening at A at the steady rate of 4 per second. Find…

A:

Q: Determine for P in the frame N the position vector NP, velocity vector NP, and acceleration vector…

A: Given: m=3.5 kgR=2 mk=70 N/m

Q: The driver of the truck has an acceleration of 0.45g as the truck passes over the top B of the hump…

A: As per given question  Acceleration of truck=0.45 Radius of curvature =95m Center of mass=2m We have…

Q: The position of a particle according to the appropriate coordinate set can be vectorially specified…

A: The position vector of a particle is, r=isin2πt-16j1-e-t4+kt24 m The mass of the particle is, m=2 kg…

Q: 3 ft 60°

A:

Q: A 0.5-kg ball is attached to a 1-m cable traveling along a circular path in the vertical plane.…

A:

Q: The particle has a mass of 0.45 kg and is confined to move along the smooth horizontal slot due to…

A:

Q: The 3.5-kg box has a velocity of 37 m/s at A. It slides on a rough surface from A to B (L=8.88 m,…

A: Given-Information: m=3.5kgv=37m/sL=8.88mμ=0.74R=13.69m To-Determine: a. Speed at B. b. Normal…

Q: Determine the angle and the tension in the cord when the speed of the sphere is 20 ft/s. The sphere…

A: Given : At Position "A" : Speed of the sphere (v) = 20 ft/sTreat the sphere as a particle  To Find :…

Q: Determine the angle 8 and the tension in the cord when the speed of the sphere is 20 ft/s. The…

A: Given : At Position "A" : Speed of the sphere (v) = 20 ft/sTreat the sphere as a particle  To Find :…

Q: Part A Determine the magnitude of the force of the rod on the particle when 0 = 30°. Express your…

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Q: A small vehicle enters the top A of the circular path with a horizontal velocity vo and gathers…

A: Given-Information: R=3.2m To-Determine: a vo=0, β=___b vo=4.7m/s, β=______

Q: When the driver applies the brakes of a light truck traveling 30 km/h, it skids 140 m before…

A: Given that: The truck is travelling at a speed of 30 km/h and it skids 140 m before stopping. It is…

Q: Compute the magnitude of the speed of A and its direction as shown in Fig. Q2(b) when B is moving…

A:

Q: Gayle runs at a speed of 4.10 m/s and dives on a sled, initially at rest on the top of a…

A: Apply the law of conservation momentum for first case as v1 = 0,                 (46.5kg + 5.25kg)…

Q: When a ball is trown vertically upwards it goes trough a distance os 19.6 m.Find the initial…

A: Here, A ball is reaching to maximum height of 19.6 m Hence, hmax = 19.6 m Gravitational acceleration…

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.