small sphere with mass m is attached to a massless rod of ngth L that is pivoted at the top, forming a simple endulum. The pendulum is pulled to one side so that the rod at an angle 0 from the vertical, and released from rest. Part B At this point, what is the linear acceleration of the sphere? Express your answer in terms of g, 0 a =

The analysis of a simple pendulum assumed that the mass was a particle, with no size. A realistic pendulum is a small, uniform sphere of mass M and radius R at the end of a massless string, with I being the distance from the pivot to the center of the sphere. Part A Find an expression for the period of this pendulum. Express your answer in terms of the variables M, R, L, and free fall acceleration g. T= IVE ΑΣΦ Submit Part B Request Answer Suppose M = 25 g, R = 1.0 cm, and L = 1.0 m, typical values for a real pendulum. What is the ratio Treal/Tsimple, where Treal is your expression from part A and T'simple = 2π₁/₂ Express your answer using six significant figures. Treal/Tsimple= ? IVE ΑΣΦ ?

Part A After landing on an unfamiliar planet, a space explorer constructs a simple pendulum of length 55.0 cm. The explorer finds that the pendulum completes 96.0 full swing cycles in a time of 129 s What is the magnitude of the gravitational acceleration on this planet? Express your answer in meters per second per second. > View Available Hint(s) Tempiates Symbols undo rego Tését keyboard shortcuts Help 9planet m/s? Submit Prevlous Anawere

Part A: The position of a 40 gg oscillating mass is given by x(t)=(2.0cm)cos(10t)=(2.0cm)cos⁡(10t), where t is in seconds. Determine the velocity at t=0.40s=0.40s. Express your answer in meters per second to two significant figures. Part B: Assume that the oscillating mass described in Part A is attached to a spring. What would the spring constant k of this spring be? Express your answer in newtons per meter to two significant figures.   Part C: What is the total energy E of the mass described in the previous parts? Express your answer in joules to two significant figures.

Data Table 3: Varying Mass M of Pendulum, Measuring Period T. Set Length L = 0.80 m. Fix Angle e = 10° to release. Attach a screenshot of Data at M = 1.5 kg from the Simulation to lab report. !! %3D M (kg) 1.50 1.00 0.50 0.10 T (s) Question: What is your conclusion from Data Table 3?

On a frictionless, horizontal air track, a glider oscillates at the end of an ideal spring of force constant 2.30 N/cm. The graph in the figure (Figure 1) shows the acceleration of the glider as a function of time. Part A Find the mass of the glider. Express your answer with the appropriate units. For related problemsolving tips and strategies, you may want to view a Video Tutor Solution of Angular frequency, frequency, and period in shm. Value Units m = Part B Find the maximum displacement of the glider from the equilibrium point. Figure Express your answer with the appropriate units. HÀ ? ar (m/s³) A = Value Units 12.0 6.0 t (s) 0/10 0.20 030 0.40 -6.0 -12.0 Part C Find the maximum force the spring exerts on the glider. Express your answer with the appropriate units.