A 5-kg small ball is doing circular motion in horizontal plane connected by two strings A and B to the vertical wall, as shown in Figure 4. Given the speed of the ball 3.5 m/s at the location shown, determine the tensions, TA and TB, in the two strings.

Q: A ball of mass m1 and a block of mass m2 are attached by a lightweight cord that passes over a…

A: Draw a free-body diagram of the given system. Part (a) Apply Newton's second law to the mass m1,…

Q: Blocks A and B have masses mA, and mB , respectively. Neglecting friction between all surfaces, draw…

A: Consider the free body diagram of the block B as shown below.

Q: The 12-kg mass A in Fig. (a) slides with negligible friction in a semicircular trough 2 m. The mass…

A: Given: The mass of block is 12 kg. Radius is 2 m. Initial velocity is 4 m/s.

Q: There is a 3,2kg slider ring is going down from the rest position A and slides in frictionless guide…

A: Calculate the potential energy of the slider at A considering B as datum surface. UA=mghA Here, UA…

Q: The propeller on an airboat used in the Florida Everglades moves air at the rate of 40 kg/s. When at…

A: The flow across the propeller is applying a thrust on the airboat. This force can be used to move…

Q: Q4) The 50 kg block shown in the figure is set in motion without initial velocity when xo=150 mm and…

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Q: A 77 kg person is parachuting and experiencing a downward acceleration of 2.5 m/s shortly after…

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Q: A 6 kg ball attached to a weightless cord is swung around in a horizontal circle of radius 1.5 m.…

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Q: As shown in the following figure, a slider moves through the guide from point A to point E and then…

A: Solution :- Given data :- k =24 kN/m                      m =1.2 kg

Q: 3. A merry-go-round with radius R rotates in a horizontal plane at constant angular speed co. A boy…

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Q: A 16-lb shell has a velocity of 2000 ft/s when it leaves the barrel of a cannon. if the barrel is 10…

A: Given data,  L= 10 ft.  v= 2000 ft/s  w = 16 lb  Let acceleration due to gravity g= 32 ft/s2

Q: The system in the figure is released from a standstill. Using the conservation of energy, Find the…

A: The free-body diagram of the system is shown as the velocity at the starting point will be zero and…

Q: Calculate the work required to move a mass “m” against A Force Field F = 5Ux + 7Uy along the…

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Q: A 200-lb block is sliding along a horizontal plane at 4 ft/s when a force P is applied on it as…

A:

Q: A 200-lb block is sliding along a horizontal plane at 4 ft/s when a force P is applied on it as…

A:

Q: 3/51 The 4-oz slider has a speed e = 3 ft/sec as it passes point A of the smooth guide, which lies…

A: Answer: The magnitude R of the force which the guide exerts on the slider: Just before it passes…

Q: Ex. (4): The figure shows a 1-kg collar that slides along the frictionless vertical rod under the…

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Q: As shown in the following figure, a slider moves through the guide from point A to point E and then…

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Q: A block of mass m,= 20kg is attached to a spring with a spring constant k 100N/m and dropped from…

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Q: In 50 seconds, a 3.2-ton vehicle can reach 140 mph from rest. Exclude friction losses while…

A: To find : Determine the engine's out  Given : time t=50sec initial velocity u=0 m/s final velocity…

Q: The box has a mass of 50 kg and is at rest. When it is pulled with 1000 N it reaches speed of 5m/s.…

A: Given data: Initial velocity of the box, u = 0 m/s. Final velocity, v = 5 m/s. Mass of the box, m =…

Q: A sphere weighing 80N is swung in a vertical circle at the end of a cord 1.2m long. If the velocirty…

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Q: m2

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Q: 1000 N

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Q: The blocks A and B shown in the figure are originally at rest, and all contact surfaces are…

A: mA=Mass of Block A=5 kgmB=Mass of Block B=3 kg

Q: A force F = 2 N is applied on a block of mass M= 0.5 kg as shown in figure. The block is constrained…

A: Given, Force magnitude = F = 2 N Angle made by a line of action of force with horizontal = θ = 60o…

Q: Show details of your solution for the problems below including FBDS when dealing with forces. 1) A…

A: Write down the given value using suitable variables. Here m signifies collar mass, vA signifies…

Q: A 0.30-kg ball is dropped from a height of 3.0 m above the floor. It rebounds to a height of 2.0 m.…

A: Given Data The mass of the ball is: m=0.30 kg. The dropped height of the ball is: h1=3 m The…

Q: A ring M of mass m 0,2 kg is shoved at p. A at velocity v4 and begins to move on a wire frame shaped…

A: Given information: the mass of the ring (m) = 0.2 kg The radius of the frame (R) = 0.4 m The Normal…

Q: Q2/ The 150 box being pulled in 14 sec by the M winch M, If the winch efficiency is c= 0.65 and the…

A: Given :Mass of box,M=150Kg(unit assumed as not given)Power input,Pi=20KWEfficieny of…

Q: Ball weighs 0.25 kg is thrown upward with an initial velocity of 30 m/s. Calculate the maximum…

A: If an object is travelling against the gravitational acceleration, the motion is termed vertical…

Q: A 6800-Kg airplane is flying at a constant speed of 280 km/h along a horizontal circular path. If…

A:

Q: AE-3-9 The 12-kg mass A in Fig. (a) slides with negligi ble friction in a semicircular trough of…

A: Given data: Draw the free-body diagram of the mass. The net force acting in the direction of “t”…

Q: A car, of mass 1400 kg, moves with a steady speed of 20 m s' on a straight rough road 6. with its…

A: There are two types of forces that are acting on a circular surface. One type of force is Radial…

Q: The 10 kg sphere C is released from rest when 0= 0° and the tension in the spring is 100 N. If the…

A: Given Mass of the ball = 10 kg Spring tension = 100 N To find Elastic potential of the system Total…

Q: Question 4: The 40-kg boy in the figure slides down the smooth water slide. If he starts from rest…

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Q: A vertical take-off and landing aircraft has a mass of 9000 kg. A constant upward thrust of 100 kN…

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Q: The motor and the pulley system shown in the figure below lifts the block 50 kg block A. If the…

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Q: A 5.40-kg block is set into motion up an inclined plane with an initial speed of v, = 8.40 m/s (see…

A:

Q: The 50 kg block shown in the figure is set in motion without an initial velocity when x₀=150 mm and…

A: Given: Mass m=50kg k=200N/m At t=0, X0=150mm or 0.150mm Solution: When c=200Ns/m Natural frequency…

Q: 6. The figure bellow shows two balls of equal mass moving in vertical circles. Is the tension in…

A: Given data: Mass of the objects  = m Radius of circle A = r Radius of the circle B = 2r Need to…

Q: A 2 kg ring is attached to a spring of 3 m length that is not elongated. The ring is immobile from…

A: Given, The mass of the ring, m=2 kg Length of the unstretched spring, l=3 m (i.e when the ring is at…

Q: Question 1: The 40-kg crate is being hoisted by the motor. If at this instant shown the velocity of…

A: Find the power input to the motor.

Q: A 200-lb block is sliding along a horizontal plane at 4 ft/s when a force P is applied on it as…

A:

Q: 1. 500 kg roller starts from a point A as shown in the diagram below. If throughout its travel the…

A:

Q: Example3 A ball of mass m is dropped from a height h above the ground, as shown in Figure (A)…

A: The schematic diagram of the ball is as follows:

Q: A spring with spring constant k=70 kN/m is used to stop the box of mass m with initial velocity V1=…

A: Given: the spring constant, k = 70 kN/m The initial velocity of box, V1 = 7 m/s The initial change…

Q: Calculate the velocity v of the 50-lb cylinder after the 20-lb cylinder has dropped 6 ft. 41 lb 50…

A: m1= 50 lbm2= 41 lbm3= 20 lb20 lb cylinder has dropped 2 ft.Hence, y1= -6 ft, y2= 6 ft, y3= 6 ft   To…

Free undamped vibrations

Whenever an object/system displaces in either side of its equilibrium position with the help of an external/internal means, then the object/system moves regularly or randomly on both sides of its equilibrium position. This motion is called vibration. Generally, there are three types of vibration: longitudinal vibration, transverse vibration, and torsional vibration.