ing has a constant 2. A spring is used to stop a 50-kg package which is...
A spring is used to stop a 50-kg package which is moving down a 20 incline. The spring has a constant k = 30 kN/m and is held by cables so that it is initially compressed 50-mm Knowing that the velocity of the package is 2 m/s when it is 8-m from the spring. Assuming the kinetic friction between the package and the incline is 0.2. Determine the maximum additional deformation of the spring in bringing the package to rest.
Problem 5 A spring with a spring constant k=200 N/m is used as a launcher for a small block whose mass is 10 g. The block is placed against the compressed spring in a horizontal arrangement on a smooth horizontal surface. The spring, with the block, is compressed 5 cm and then released. a) Find the speed of the block just as it leaves the spring b) The block encounters a rough surface as it leaves the spring. How much...
A 5-kg collar A is at rest on top of, but not attached to, a spring with stiffness k1 = 400 N/m when a constant 150-N force is applied to the cable. Knowing A has a speed of 1 m/s when the upper spring is compressed 75 mm, determine the spring stiffness k2. Ignore friction and the mass of the pulley
A spring is used to fire a 100-g block horizontally. The spring has a spring constant of 20 N/m and is initially compressed by 5.0 cm. The block is initially at rest. a) What is the initial elastic potential energy? b) The spring is released. The block leaves the spring when the spring is at its relaxed state. What is the kinetic energy of the block as it leaves the spring? c) After the block leaves the spring, it enter...
-0.2 m I=2 kgm? B-10 kg K=600 N/m 200 50 kg FIG. Q 9.18 A 50 kg mass, A, is connected to a 10 kg mass, B, by a non-flexible cable passing over a drum with moment of inertia I= 2 kgm. Mass B resting on a 20°– incline is also connected to a coil spring with K=600 N/m. At the instant shown the spring is un-stretched. If mass A is released from rest, compute the velocity of mass A,...
A block of mass m = 3.5 kg is attached to a spring with spring constant k = 520 N/m. It is initially at rest on an inclined plane that is at an angle of θ = 21° with respect to the horizontal, and the coefficient of kinetic friction between the block and the plane is μk = 0.16. In the initial position, where the spring is compressed by a distance of d = 0.14 m, the mass is at...
A 750 kg car slows to a stop from traveling southbound at 30 m/s over a distance of 500 m. What was the acceleration needed to stop the car? How large was the force required to stop the car? Two cables are being used to pull a 100 kg sled on a frictionless surface. The first cable has a tension of 500 N in a direction 15o south of east. The other cable has a tension of 800 N in...
A block of mass m = 3.5 kg is attached to a spring with spring constant k = 990 N/m. It is initially at rest on an inclined plane that is at an angle of θ = 22° with respect to the horizontal, and the coefficient of kinetic friction between the block and the plane is μk = 0.12. In the initial position, where the spring is compressed by a distance of d = 0.19 m, the mass is at...
Consider a 3.0 kg mass on a spring on a horizontal surface. The
spring has spring constant 45 N/m. The static coefficient of
friction between the mass and the surface is µS = 0.30 and the
kinetic coefficient of friction is µK = 0.20
(a) When the mass is at x0 = 20 cm it is moving to the right
with speed 50 cm/s. Where does it first come to a stop? [Hint: use
energy considerations.]
(b) Once the mass...
A 20 kg crate is allowed to slide down a 60-m long smooth inclined plane which is 30° with the horizontal. At the bottom of the inclined plane, the crate is allowed to slide horizontally with the ground where the coefficient of friction between the crate and the ground is 0.15. After 1 m, the crate would meet a coil with a spring constant of 1000 N/m. (Assume that the friction no longer acts as the crate hits the spring).Calculate...