You are working on the plans for an expedition to colonize Mars. In an effort to provide a homey atmosphere for the Mars colonists, the plan is to senda number of grandfather clocks along with the expedition. Each colonist apartment will contain one grandfather clock. You are in charge of designingthe clock pendula. The clocks will have a pendulum with a period of T = 2.00 s when the acceleration due to gravity is 9.80 m/s². Your design for thependulum includes a small object of mass m₁ = 1.65 kg mounted such that its center is at the end of a very light rod, as shown in (a) of the figure. Thepivot point is at the upper end of the rod.(a)m1CM X-LUse T = 2πim(b)m2CMX-m1d(a) Determine the required length L for the rod (in m) when the clock is operating with a 2.00 s period on Earth.0.993L(b) As shown in (b) of the figure, when the clock is operated on Mars, a small object of mass m₂ can be mounted at a position r that is 29.5% of thelength of the rod from its pivot point. This additional object allows the period of the pendulum to be adjusted when located in differentgravitational fields by altering m₂ while keeping m₁ fixed in both mass and position. The acceleration due to gravity on Mars is 37.6% that onEarth. Determine the design requirement for the mass m₂ when the clock is operating with a 2.00 s period on Mars. (Entered the required massin kg.)79.9XIto find the period of the physical pendulum. kgmgd

Given: Mass of small object 1 , m1 =1.65 kg. The time period of pendulum is, T = 2.00 s.…

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