A block on a frictionless table is connected as shown in FIGURE P15 74 to two springs having spring constants k 1 and k 2 Show that the blocks oscillation frequency is given by f f 1 2 f 2 2 where f 1 and f 2 are the frequencies at which it would oscillate if attached to spring 1 or spring 2 alone ki k2 IMANN FIGURE P15 74

Question: A block on a frictionless table is connected as shown in FIGURE P15.74 to two springs having spring constants k 1 and k 2 .

A block on a frictionless table is connected as shown in FIGURE P15.74 to two springs having spring constants k₁and k₂.
Show that the block€™s oscillation frequency is given by f = ˆšf₁²+ f₂²where f₁and f₂are the frequencies at which it would oscillate if attached to spring 1 or spring 2 alone.

ki k2 IMANN FIGURE P15.74

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