
2. (25 pts.) A simple pendulum of length L = 1.0 m, with a mass mp...
There is a pendulum made of a uniform rod of mass 'M' and length 'l'. Let theta be the angle between the pendulum and the vertical axis. It is raised to the right to an angle thetao. It is then released from rest and at its lowest point (theta=0), it elastically collides with a mass 'm'. Consider the table to be frictionless. What is the velocity of the mass and the angular speed of the pendulum after the collision?
A pendulum of a mass mp = 3.60 kg hanging at the bottom end of a massless rod of length ℓ = 0.60 m has a frictionless pivot at its top end. As shown in the above figure, a bullet of mass mb = 0.50 kg, moving with a horizontal velocity vb, impacts the pendulum and becomes embedded. The pendulum then swings to rest at its topmost position converting all of its kinetic energy into potential energy. (a) Use the...
A pendulum of length L = 1.0 meter and bob with mass m = 1.0 kg is released from rest at an angle 0 = 30' from the vertical. When the pendulum reaches the vertical position, the bob strikes a mass M= 3.0 kg that is resting on a frictionless table that has a height h = 0.85m. (a). When the pendulum reaches the vertical position, calculate the speed of the bob just before it strikes the box. (6 marks]...
A 1.9-kg ball is attached to the end of a 2.6-m string to form a pendulum. This pendulum is released from rest with a string horizontal. At the lowest point in its swing when it is moving horizontally, the ball collides elastically with a 2.5-kg block initially at rest on a horizontal frictionless surface. What is the speed of the block just after the collision? Show all the important physics steps.
A pendulum, consisting of a ball of mass m on a light
string of length 1.00 m, is swung back to a 45° angle and released
from rest. The ball swings down and, at its lowest point, collides
with a block of mass 2mthat is on a frictionless
horizontal surface.
Note that you will most likely get different numbers for the
different parts below. As usual, a good way to handle that is to
solve the problem using variables, and...
Block A of mass mA is moving horizontally with speed Va along a frictionless surface. It collides elastically with block B of mass mB that is initially at rest. After the collision block B enters a rough surface at x =0 with a coefficient of kinetic friction that increases linearly with distance μ(x) = bx for 0 ≤ x ≤ d, where b is a positive constant. At x=d block B collides with an unstretched spring with spring constant k...
A block of mass m1 = 1.10 kg moving at v1 = 1.20 m/s undergoes a completely inelastic collision with a stationary block of mass m2 = 0.900 kg . The blocks then move, stuck together, at speed v2. After a short time, the two-block system collides inelastically with a third block, of mass m3 = 2.40 kg , which is initially at rest. The three blocks then move, stuck together, with speed v3. Assume that the blocks slide without...
A block of mass m1 = 1.10 kg moving at v1 = 1.20 m/s undergoes a completely inelastic collision with a stationary block of mass m2 = 0.900 kg . The blocks then move, stuck together, at speed v2. After a short time, the two-block system collides inelastically with a third block, of mass m3 = 2.40 kg , which is initially at rest. The three blocks then move, stuck together, with speed v3. Assume that the blocks slide without...
A block with mass M = 5.95 kg is sliding in the positive x-direction at Vi = 8.90 m/s on a frictionless surface when it collides elastically in one dimension with a stationary block with mass m = 1.30 kg. Determine the velocities, Vf and vf, of the objects after the collision.
A pendulum bob, with mass 1.60 kg, is held at rest initially in a horizontal position as shown. The string has negligible mass and a length of 1.20 m. The bob is then released from rest. It swings down and collides with a block of mass 2.40 kg initially at rest. Ignore air resistance. a) Use the Principle of Conservation of Mechanical Energy to find the speed of the pendulum bob just before the collision. b) (The bob collides with...