During the Rama Ravana battle, Indrajit (son of Demon Ravana) grievously wounded Lakshmana. Seeing the fallen Lakshmana, many army leaders concluded that he was dead.
The sorrow experienced by Rama at that minute was far greater than that he had experienced when his wife Sita was kidnapped. For months he had been grieving for Sita, but he was most inconsolable with this loss. At this juncture, the doctor of the Vānara army proclaimed that Lakshmaṇa could be revived provided that the herb Sanjivini is brought and supplied to him immediately. But how was this to be accomplished? The war was being fought in the island Lanka while the herb was available in the far away Himalayas. With great difficulty, the monkey army had constructed the bridge to reach this island. To go and fetch this herb was very time consuming. Any delay in getting the herb meant that Lakshmaṇa could not be revived.
In this situation, where every minute was precious, Hanuman volunteered for the highly impossible task. He flew at the speed of wind braving all the obstacles on his path and without wasting any time in searching for the herb, carried the entire mountain itself to Lanka! He thus became the cause for the restoration of the life of Lakshmana and in turn brought about immense joy to Lord Rama. He dispelled all the mental sorrows of Lord Rama.
Thus the meaning implied in the dhyana shloka is – Can’t this Lord who could dispel the sorrows of Lord Rama himself, dispel the sorrows and troubles that afflict our mind?
Om namo Hanumate namaha.