At the instant, e=60°, the boy's center of mass G has a downward speed vg=15 ft/s. Determine the rate of increase in his speed and the tension in each of the two supporting cords of the swing at this instant. The boy has a weight of 60 lb. Neglect his size and the mass of the seat and cords.

Q: The small collar of mass m = 0.59 kg is released from rest at A and slides down the curved rod in…

A: Given - h=2.99 mVA=0m =.59 kg   To Find - VB=?

Q: The roller coaster car has a mass of 700 kg, including its passenger. It is released from rest at…

A: Find the normal reaction at point B and C.

Q: It takes 35 seconds for the 50-Mg tugboat to increase its speed uniformly to 25km/h, starting from…

A:

Q: The small collar of mass m = 0.70 kg is released from rest at A and slides down the curved rod in…

A: Given data: m=0.77 kgb=0.67 mh=3.33 m Need to determine the velocity of the collar at B.

Q: The small collar of mass m = 0.66 kg is released from rest at A and slides down the curved rod in…

A: Energy conservation is used at top and bottom state.  Qloss is due to friction will be converted…

Q: The crate moves in a smooth vertical slot from A to B as shown, when a constant vertical force F is…

A: m= mass of crate= 6 kgsB=vertical distance between A & B = 0.20 mVB=Velocity of crate at point B…

Q: The 8-kg block slides down the smooth ramp AB given by the function y = 0.2e*. If the block has a…

A: Given-Data:- y=0.2exv=1.5m/sy=0.2m To-Find:- 1) Normal Reaction2) Acceleration

Q: The 35-kg crate is subjected to a force inclined to 700 respect to vertical plane having a constant…

A: According to the given information, we know that the 35 kg crate is inclined to 70  with respect to…

Q: Determine the constant force P

A:

Q: The spring in the toy gun has an undeformed length of 110.1 mm. It compresses and stops at the…

A:

Q: The 4,450kg truck is traveling at 30.50m/s when the brakes on all its wheels are applied, causing it…

A: Given Data  Mass of the truck, mt=4450 Kg Mass of the boat + trailor, 2250Kg Total mass=6700Kg

Q: At the instant 0 = 60°, the boy's center of mass G is momentarily at rest. Determine his speed and…

A: Data given - W= 60 lb

Q: Part A If the box strikes the smooth plate, which has a weight of 23 lb and is held in position by…

A: Given data:

Q: The cars of an amusement park ride have a speed va = 17 m/s at A and a speed vg = 10 m/s at B. If a…

A:

Q: The 10-lb block A travels to the right at va = 3.1ft/s at the instant shown. I the coefficient of…

A:

Q: roller coaster car has a mass of 600 kg when fully loaded with passengers. If the car has a speed of…

A: Given    Mass, m = 600 kg Velocity, u = 20 m/s Find   Maximum speed, V

Q: 3. The 60-lb boy swings down as shown in Fig. below. If he starts from rest when 0 = 0°, %3D…

A: Given Data: The weight of the boy is W = 60 lb. The length of the cord is R =10 ft. The angle with…

Q: n. Find the velocity v of the collar as it strikes the base at B. Set b = 0.68 m, h = 2.45 m.

A:

Q: The collar has a mass of 2 kg and is attached to the light spring, which has a stiffness of 30 N∕m…

A:

Q: The roller coaster car has a mass of 700 kg, including its passenger. If it starts from the top of…

A:

Q: The 1 kg sleeve is pulled to the configuration shown and released from rest. The spring has an…

A: Given: F = 2 N m = 1 kg k = 5N/m     The free body diagram of the sleeve is given below:

Q: The 97-N block B has a speed of v= 24 m/s when it is at the location shown. It slides on the incline…

A:

Q: 2. When s = 0.6 m, the spring is unstretched and the 10-kg block has a speed of 5 m/s down the…

A:

Q: Two identical 16-kg spheres are attached to the light rigid rod, which rotates in the horizontal…

A:

Q: It takes 33 s for the 48-Mg tugboat to increase its speed uniformly to 25 km/h, starting from rest.…

A:

Q: The boy of mass 46 kg is sliding down the spiral slide at a constant speed such that his position,…

A:

Q: rad A frisbee is thrown such that its final angular velocity is w = 9 after being in flight for t =…

A:

Q: The spool has a weight of 75 lb and a radius of gyration ko = 1.20 ft. If the block B weighs 60 lb,…

A: Given data: W=75 lbk0=1.2 ft=14.4 inw=60 lbP=25 lbt=5 s

Q: The spring has a stiffness k = 50 lb/ft and an unstretched length of 2 ft. As shown, it is confined…

A:

Q: The two 1.5-kg spheres are released from rest and gently nudged outward from the position 0 = 0 and…

A:

Q: The 167-kg lunar lander is descending onto the moon's surface with a velocity of 5.0 m/s when its…

A:

Q: The simple pendulum A of mass ma = 3.9 kg and length I = 1.51 m is suspended from the trolley B of…

A: Given Data: mA=3.9 kgl=1.51 mmB=7.9 kg   To Find: Velocity of trolley B, vB.

Q: When s = 0.6 m, the spring is relaxed, and the 10 kg block, which is subjected to a force of 125 N,…

A:

Q: Compute the total specific mechanical energy E of a satellite in a hyperbolic orbit with semimajor…

A: Solution: Given Data: *The semimajor axis of the hyperbolic orbit is: a=13500 km *The pericenter…

Q: The 190-kg lunar lander is descending onto the moon's surface with a velocity of 6.0 m/s when its…

A:

Q: The motor winds in the cable with a constant acceleration, such that the 20-kg crate moves a…

A:

Q: The 3950-lb van is driven from position A to position B on the barge, which is towed at a constant…

A: Given Data

Q: Determine the speed v which the 690-kg four-man bobsled must have in order to negotiate the turn…

A: Given data- Mass = 690 kg Find the speed and normal force on the bobsled.

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.