The simple pendulum (figure shown in Question 2) consists of a light but rigid bar of length L=0.3 m, with a ball on the end with mass M = 9.1 kg.  The pendulum is released from the position shown in dashed lines.  As the pendulum passes through the vertical position with an angular velocity  = 5 rad/s, it strikes a sphere of mass m = 1.6 kg, which is initially at rest. Calculate the angular velocity  which the pendulum has immediately after impact if the sphere moves to the left with a velocity v =3 m/s after impact. Neglect friction, and take counterclockwise rotation as positive. Your answer should be given with two decimal places, should have the correct sign, and should include the correct units.

Q: Q2: The 5.5-kg lever OA with 250-mm radius of gyration about O is initially at rest in the vertical…

A:

Q: The sphere of mass m1 = 5 kg falls from a height H = 1.4 m onto the homogeneous board of negligible…

A: The block will reach a height of 0.575 m after the collision. See attachment for detailed…

Q: A cable is wrapped around the spool's center hub. The mass of the spool is m= 100 kg, the radius r₁…

A: Givenm=100kgr1=0.4mr2=0.6mkG=0.3mP=10Nt=2s

Q: The disk with radius r is rolling (without slipping) with angular velocity through the bottom of the…

A: Given data:- angular velocity (ω)= 2 rad/sec, R = 0.5 m, r = 0.2 m, the mass of the disk= 3 kg, To…

Q: rider have a combined mass of 350kg. At another point in its journey, the motorcycle and rider…

A:

Q: A solid cylinder with a radius of rc = 0.34 m and a mass of m= 8 kg is attached to a spring with a…

A: Given data:The radius of the solid cylinder is The mass of the cylinder is The stiffness of the…

Q: The system is at rest with the spring unstretched when 8 = 0. The 5.3-kg uniform slender bar is then…

A: mass,m=5.3 kgb=0.45 mto determine:(a) Spring constant k(b)magnitude of angular velocity

Q: The initially stationary uniform disk of mass m1 = 2.2 kg and radius b = 250 mm is allowed to drop…

A:

Q: In the figure below, the ring E has a mass mɛ = 30 kg and a radius of gyration about its center C of…

A: Write the given values along with suitable variables. Now, as the body D is moving download with…

Q: The wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is…

A:

Q: The shipping crate shown weighs 13kg and is initially hooked to a stretched spring (stretched length…

A: Spring force =-kx where the x is the displacement of spring  force due to weight create opposing…

Q: 4. The rod AB, with mass M, length L (thus Ic.G. = ML?) is released from the position shown, from…

A:

Q: 2 identical sphere with initial velocity v1= 2meter per sec and v2= 3 meter per sec shown strike and…

A:

Q: 3. A 30kg uniform bar is free to rotate without friction about a fixed axis at Point A. W T 1 m a. A…

A: Part (a) What is the angular acceleration, α\alphaα, of the bar when it is horizontal, as shown? The…

Q: Example 7 The 100-lb wheel has a radius of gyration of kg = 0.75 ft. If the upper wire is subjected…

A: The weight of the wheel is W=100 lb. The radius of gyration of the wheel is kG=0.75 ft. The tension…

Q: Prof. K. tried to devise an easier way of throwing a ball for her dog. The ball B has a mass of 0.5…

A:

Q: 6. A spool of cable (mass = 50 kg, kg = 1 m) rests on an inclined slope (us = μ = 0.2), with the…

A: According to the given data m=50kg K=1m μs=μk=0.2 We need to find Angular acceleration of the spool…

Q: A massless string is wound around a solid cylinder that has a radius of 0.18 m and a mass of 27.23…

A: Draw the free body diagram for the given condition.

Q: The figure shows the cross section of a uniform 239-lb ventilator door hinged about its upper…

A: Weight of door, W=239 lbStiffness of spring, k=16.6 lb/ft Draw the free-body diagram.

Q: Member AB is uniform and has a mass of 150 kg. It is released from rest in the position shown, and…

A:

Q: A thin circular disk of radius R and mass M has an axle through it close to its outer edge. The disk…

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

Q: The pulley in Fig has radius R and a moment of inertia I. The rope does not slip over the pulley,…

A: Consider the Free Body diagram: Initial energy of the system,Ei=mBgd Final energy of the…

Q: 4. A pair of connected pulleys receive a force F = 75 N and P = 150 N as depicted in the image. The…

A:

Q: he radius of the flywheel given in the figure is 600 mm. Its mass is 144 The radius of rotation…

A:

Q: As shown in the picture below, a 40-kg diver is positioned so that his radius of gyration is 0.4m as…

A:

Q: The system shown below consists of a uniform disk D that has a mass of mp = 3.0 kg and a radius of r…

A:

Q: The arms of a Porter governor are each 250 mm long and pivoted on the governor axis. The mass of…

A: Governor is used to controlling the speed of the engine.  It controls the rotational speed by…

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.