In the figure, a block weighing 15.1 N, which can slide without friction on an incline at angle θ = 50.0°, is connected to the top of the incline by a massless spring of unstretched length 0.390 m and spring constant 105 N/m. The block is initially at its equilibrium position. (a) How far from the top of the incline is the block’s equilibrium point? (b) If the block is pulled slightly down the incline and released, what is the period of the resulting oscillations?

In the figure, a block weighing 15.1 N, which can slide without friction on an incline at angle θ = 50.0°, is connected to the top of the incline by a massless spring of unstretched length 0.390 m and spring constant 105 N/m. The block is initially at its equilibrium position. (a) How far from the top of the incline is the block’s equilibrium point? (b) If the block is pulled slightly down the incline and released, what is the period of the resulting oscillations?

Similar questions

Problem 5: A block of mass m = 4.5 kg is attached to a spring with spring constant k = 810 N/m. It is initially at rest on an inclined plane that is at an angle of e = 28° with respect to the horizontal, and the coefficient of kinetic friction between the block and the plane is uz = 0.19. In the initial position, where the spring is compressed by a distance of d= 0.18 m, the mass is at its lowest position and the spring is compressed the maximum amount. Take the initial gravitational energy of the block as zero. M ©theexpertta.com Part (a) What is the block's initial mechanical energy, E, in J? Eo = sin() cos() tan() HOME E AL 4 * 1 cotan() asin() acos() 5 6 atan() acotan() sinh() cosh() tanh() cotanh() + END ODegrees O Radians Vol BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Part (b) If the spring pushes the block up the incline, what distance, L in meters, will the block travel before coming to rest? The spring remains attached to both the block and the fixed wall throughout…
When the rope is at an angle of a = 30° the l-kg sphere A has a speed vo = 0.6 m/s. The coefficient of restitution between A and the 2-kg wedge B is 0.8 and the length of rope l = 0.9 m. The spring constant has a value of 1500 N/m and 0 = 20°. Determine (a) the velocities of A and B immediately after the impact, (b) the maximum deflection of the spring assuming A does not strike B again before this point. A k B Vo
One end of a light spring with spring constant k₁ = 1,300 N/m is attached to the ceiling. A second light spring is attached to the lower end, with spring constant k₂ = 1,650 N/m. An object of mass 1.50 kg is attached to the lower end of the second spring. (a) By how much does the pair of springs stretch (in m)? m (b) What is the effective spring constant (in N/m) of the spring system? N/m (c) What If? Two identical light springs with spring constant 1,200 N/m are now individually hung vertically from the ceiling and attached at each end of a symmetric object, such as a rectangular block with uniform mass density. In this case, with the springs next to each other, we describe them as being in parallel. Find the effective spring constant (in N/m) of the pair of springs as a system in this situation. N/m
A block with a mass of 0.350kg is placed on a rough planar surface that is inclined 30° above the horizontal. The maximal coefficient of static friction 0.25 and the coefficient of kinetic friction is 0.12. If the block is released from rest, what acceleration does it experience?
Chapter 15, Problem 025 GO In the figure, a block weighing 16.1 N, which can slide without friction on an incline at angle e = 50.0°, is connected to the top of the incline by a massless spring of unstretched length 0.550 m and spring constant 140 N/m. The block is initially at its equilibrium position. (a) How far from the top of the incline is the block's equilibrium point? (b) If the block is pulled slightly down the incline and released, what is the period of the resulting oscillations? (a) Number Units (b) Number Units Click if you would like to Show Work for this question: Open Show Work
One end of a light spring with spring constant k, = 1,200 N/m is attached to the ceiling. A second light spring is attached to the lower end, with spring constant k, = 1,600 N/m. An object of mass 1.50 kg is attached to the lower end of the second spring. (a) By how much does the pair of springs stretch (in m)? m (b) What is the effective spring constant (in N/m) of the spring system? N/m (c) What If? Two identical light springs with spring constant 800 N/m are now individually hung vertically from the ceiling and attached at each end of a symmetric object, such as a rectangular block with uniform mass density. In this case, with the springs next to each other, we describe them as being in parallel. Find the effective spring constant (in N/m) of the pair of springs as a system in this situation. N/m
A box of mass 7.7 kg is given an initial speed of vo = 5.1 m/s along a ramp as indicated in the figure (θ = 69.7o). If the coefficient of kinetic friction between the box and the ramp is μk = 0.48, find the magnitude of the acceleration of the box.
Draw schematics of the configurations shown but replace the molecular bonds with springs: each bond has a spring constant (kn) and each molecule has a mass (mn). Describe how you might develop a model for calculating the resonant frequency for each of the three molecular configurations (you don’t have to work out the math!). This model describes “acoustic phonons”.
A simple pendulum is suspended from the ceiling by means of a string and has a length of 1.56 m long. Suppose you start with the pendulum hanging vertically, at rest. You then give it a push so that it starts swinging with a speed of 1.73 m/s. What maximum angle (in degrees) will it reach, with respect to the vertical, before falling back down? 38.3 degrees 31.9 degrees 25.5 degrees 20.4 degrees
A 21.0 cm long spring is hung vertically from a ceiling and stretches to 27.7 cm when a 6.50 kg mass is hung from its free end. HINT (a) Find the spring constant (in N/m). N/m (b) Find the length of the spring (in cm) if the 6.50 kg weight is replaced with a 215 N weight. cm
A brick of mass m = 0.48 kg is set against a spring with a spring constant of k1 = 619 N/m which has been compressed by a distance of 0.1 m. Some distance in front of it, along a frictionless surface, is another spring with a spring constant of k2 = 244 N/m. The brick is not connected to the first spring and may slide freely. Now assume friction is present on the surface in between the ends of the springs at their equilibrium lengths, and the coefficient of kinetic friction is μk = 0.5. If the distance between the springs is x = 1 m, how far d2, in meters, will the second spring now compress?
A block of mass mA = 20kg on an inclined plane and a bucket of mass mbucket = 14kg are attached to the ends of a massless string passing through a massless pulley as shown in the figure below. The inclined plane makes an angle of 0 = 37° with the horizontal and the coefficients of kinetic and static friction are μ = 0.2 and μ = 0.5. The system is initially at rest and a student starts to fill the bucket with balls, each of whose mass is 100 grams, one at a time until the system starts to move. Determine the number of balls the student placed in the bucket. Take g = 9.80m/s² and please note that the number balls must be an integer! Answer: MA mbucket