Problem #1 A student pushes the 1.25 kg block in the figure below against a horizontal spring, compressing it by 0.175 m. k Xmax ! m v₁=0 y = 0 The left end of a horizontal spring is attached to a vertical wall, and when released, the block travels across a horizontal surface and up an incline. Neglecting friction, find the block's maximum height (in m) if the spring constant is k = 645 N/m. (The acceleration of gravity is g = 9.80 m/s².)

Problem #1 A student pushes the 1.25 kg block in the figure below against a horizontal spring, compressing it by 0.175 m. k Xmax ! m v₁=0 y = 0 The left end of a horizontal spring is attached to a vertical wall, and when released, the block travels across a horizontal surface and up an incline. Neglecting friction, find the block's maximum height (in m) if the spring constant is k = 645 N/m. (The acceleration of gravity is g = 9.80 m/s².)

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.8.12P: A bungee jumper having a mass of 55 kg leaps from a bridge, braking her fall with a long elastic...

See similar textbooks

Similar questions

A safety valve on the top of a tank containing steam under pressure p has a discharge hole of diameter d(see figure). The valve is designed to release the steam when the pressure reaches the value Pmax If the natural length of the spring, is L and its stiffness is k, what should be the dimension ft of the valve? (Express your result as a formula for h.)
The figure shows a steel bar being processed by a rolling mill. Given that P=80kN and r =0.016, determine the force F required to advance the bar at a constant speed.
in the system shown, the bar AB can withstand a tension of 4.90 kN, and a compression of 2.53 kN; the spring constant k is 2.85 kN / m, the spring's undeformed length is 0.433 m, the mass of W is 365 kg, and the force P makes an angle of 60 ° with the horizontal. Calculate the stretched length of the spring and the magnitude of the force P so that:- The bar fails due to tension- The bar fails due to compression NOTE 1: For the direction of the force P do not be guided by the drawing. The force P can point in any direction (all 4 quadrants) as long as it maintains the indicated angle with respect to the horizontal.
The device diagramed in the figure below is called an Atwood's machine. Let m1 = 2kg and m2 = 4 kg. Assume the pulley to be frictionless and massless. How far will m2, fall in time t = 0.5 s after the system is released? What is the tension in the light cord that connects the two masses?
a ladder whose length L is 12 m and whose mass is 45 kg rests against a wall. Its upper end is a distance h of 9.3 m above the ground, as in the Figure. The center of gravity of the ladder is one-third of the way up the ladder. A firefighter whose mass M is 72 kg climbs halfway up the ladder. Assume that the wall, but not the ground is frictionless. What forces are exerted on the ladder by the wall and by the ground?
A ball of mass mand radius Rrests at the edge of a step barrier of height has shown in thefigure. There is a horizontal force Tapplied to the ball from its top through a string wrapped around the ball to lift it above the barrier as shown in the figure. What is the minimum tension required to begin to lift the ball off the ground? (g = 9.8 m/s2, m = 1 kg, R = 0.5 m, h = 0.2 m).
The pressure vessel shown below is being lifted by two cables that are attached to the bottom of the tank at points L = 6' away from each other. Assume that this causes reaction forces at the bottom of the tank that are oriented in the direction of the cable, i.e. 30 degrees from vertical. The tank weighs 4,970 lb. For simplicity, assume that the weight is evenly distributed from one connection point to the other, thus ignoring any weight in the end caps. Also assume that the tank is pressurized to 272 psi. The tank has an internal radius of 1.7 ft and a thickness of 1/8 inch. The tank is made out of steel with a 50 ksi yield strength. Determine 1) the combined stress state at point C, which is located at mid-length at the bottom of the tank and 2) the factor of safety against yielding at point C using the Tresca criterion. be sure to clearly indicate your answers to parts 1 and 2.
The pressure vessel shown below is being lifted by two cables that are attached to the bottom of the tank at points L = 6' away from each other. Assume that this causes reaction forces at the bottom of the tank that are oriented in the direction of the cable, i.e. 30 degrees from vertical. The tank weighs 4,970 lb. For simplicity, assume that the weight is evenly distributed from one connection point to the other, thus ignoring any weight in the end caps. Also assume that the tank is pressurized to 272 psi. The tank has an internal radius of 1.7 ft and a thickness of 1/8 inch. The tank is made out of steel with a 50 ksi yield strength. Determine 1) the combined stress state at point C, which is located at mid-length at the bottom of the tank and 2) the factor of safety against yielding at point C using the Tresca criterion. In your work, be sure to clearly indicate your answers to parts 1 and 2. Please insert the factor of safety.
A 12.0 kg weight hangs from a 7.50 m pole as illustrated in the diagram. The pole has a mass of 8.0 kg. Determine the tension in the cable, and the "Frictional" and "Normal" forces felt from the wall.
A uniform ladder stands on a rough floor and rests against a frictionless wall as shown in the figure. Since the floor is rough, it exerts both a normal force N1 and a frictional force f1 on the ladder. However, since the wall is frictionless, it exerts only a normal force N2 on the ladder. The ladder has a length of L = 4.0 m, a weight of WL = 69.0 N, and rests against the wall a distance d = 3.75 m above the floor. If a person with a mass of m = 90 kg is standing on the ladder, determine the following. (a) the forces exerted on the ladder when the person is halfway up the ladder (Enter the magnitude only.) N1 = N N2 = N f1 = N (b) the forces exerted on the ladder when the person is three-fourths of the way up the ladder (Enter the magnitude only.) N1 = N N2 = N f1 = N
A truck of mass 3 tonnes runs into a buffer stop having three buffer springs each of 40 kN/cm stiffness connected in parallel. Find the maximum compression of the springs, and the load if the wagon is travelling at 60 kmph. 1-Equivalent Stiffness of spring in kN/mm is 2-Kinetic Energy in kNmm is 3-The maximum compression of the spring in mm is 4-Load acting on the spring in kN is
Aweight of 400 N is dropped through a height of 600 mm onto a closed coil compression spring which instantaneously compresses by 200 mm under the impact. The diameter of spring wire is 25 mm and mean diameter of coil is 200 mm. Find maximum instantaneous stress produced by impact, and number of coil in spring take G = 30 in/mm2